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Prof. Dr. Billur KAYMAKÇALAN

  • Fen-Edebiyat Fakültesi
  • Matematik Bölümü
  • -

Yayınlar

Alınan Eğitimler
Doktora/Sanatta Yeterlilik/Tıpta Uzmanlık, Amerika Birleşik Devletleri, Florida Institute Of Technology, Department Of Mathematical Sciences, , 1990, 1993
Yüksek Lisans, Türkiye, Orta Doğu Teknik Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü, 1985, 1988
Lisans, Türkiye, Orta Doğu Teknik Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü, 1978, 1982
Yabancı Dil
İngilizce
Alınan Sertifikalar/Kurslar
Kayıt Yok
[UAK] Fen Bilimleri ve Matematik Matematik Uygulamalı Matematik
[UAK] Fen Bilimleri ve Matematik Matematik Matematiksel Analiz
Akademik Ünvanlar
2017-, Profesör, Tam Zamanlı, Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü, Matematik, Türkiye
2016-2017, Profesör, Yarı Zamanlı, Ted Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü, Matematik, Türkiye
2011-2016, Profesör, Tam Zamanlı, Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik-Bilgisayar Bölümü, Matematik, Türkiye
2005-2011, Doçent, Tam Zamanlı, Georgia Southern University, Arts And Sciences, Mathematical Sciences, Matematik
2001-2005, Yardımcı Doçent, Tam Zamanlı, Georgia Southern University, Arts And Sciences, Mathematical Sciences
1995-2002, Doçent, Tam Zamanlı, Orta Doğu Teknik Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü, Matematik, Türkiye
1993-1995, Doktor Öğretim Üyesi, Tam Zamanlı, Orta Doğu Teknik Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü, Türkiye
1990-1993, Araştırma Görevlisi, Tam Zamanlı, Florida Institute Of Technology, College Of Engineering And Science, Department Of Mathematical Sciences
1985-1990, Araştırma Görevlisi, Tam Zamanlı, Orta Doğu Teknik Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü, Türkiye
Mesleki ve İdari Deneyim
2017-, Erasmus Koordinatörü, Çankaya Üniversitesi, Türkiye
2013-2016, Dekan, Çankaya Üniversitesi, Türkiye
2011-2016, Bölüm Başkanı, Çankaya Üniversitesi, Türkiye
2011-2016, Anabilim Dalı Başkanı, Çankaya Üniversitesi, Türkiye
2011-2016, Fakülte Kurulu Üyeliği, Çankaya Üniversitesi, Türkiye
Yönetilen Tezler
Ali Altameemi, Yüksek Lisans, Volterra type integral equations, Çankaya Üniversitesi, Fen Bilimleri Enstitüsü, Matematik ve Bilgisayar Bilimleri Ana Bilim Dalı, 2015, (Asıl Danışman)
Khulood Gatea, Yüksek Lisans, On generating functions, Çankaya Üniversitesi, Fen Bilimleri Enstitüsü, Matematik ve Bilgisayar Bilimleri Ana Bilim Dalı, 2014, (Asıl Danışman)
Erol Koralp, Yüksek Lisans, Opial's type ineqvalities on time scales and some applications, Orta Doğu Teknik Üniversitesi, Fen Bilimleri Enstitüsü, Matematik Ana Bilim Dalı, 1999, (Asıl Danışman)
Saliha Fisli Özgün, Yüksek Lisans, Some alavitative properties of higher order nonlinear dynamic equations on time scales, Orta Doğu Teknik Üniversitesi, Fen Bilimleri Enstitüsü, Diğer, 1996, (Asıl Danışman)
Celil Ekici, Yüksek Lisans, Dynamics of structured populations and an optimal harvesting model, Orta Doğu Teknik Üniversitesi, Fen Bilimleri Enstitüsü, Diğer, 1995, (Asıl Danışman)
Verilen Dersler
2013-2014, Difference Equations, Yüksek Lisans
2013-2014, Differential Equations, Lisans
2012-2013, History of Mathematics, Lisans
Araştırma Deneyimi
Kayıt Yok
Projeler
Kayıt Yok
Fikri Mülkiyetler
Kayıt Yok
Makaleler
Kayar, Z., Kaymakçalan, B. (2022) "The complementary nabla Bennett-Leindler type inequalities", Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 71 (2) pp. 1-28 [TR Dizin] DOI
Kayar, Z., Kaymakçalan, B. (2022) "Applications of the novel diamond alpha Hardy-Copson type dynamic inequalities to half linear difference equations", Journal of Difference Equations and Applications, 28 (4) pp. 457-484 [SCI Expanded] DOI
Kayar, Z., Kaymakçalan, B. (2022) "Diamond alpha Hardy-Copson type dynamic inequalities", Hacettepe Journal of Mathematics and Statistics, 51 (1) pp. 48-73 [SCI Expanded] DOI
Kayar, Z., Kaymakçalan, B. (2022) "Novel Diamond Alpha Bennett-Leindler Type Dynamic Inequalities and Their Applications", Bulletin of the Malaysian Mathematical Sciences Society, 45 (3) pp. 1027-1054 [SCI Expanded] DOI
Kaymakçalan, B., Kayar, Z., Pelen, N.N. (2021) "Diamond alpha Bennett‐Leindler type dynamic inequalities and their applications", Mathematical Methods in the Applied Sciences, (0) pp. 1-23 [SCI Expanded] Link DOI
El-Deeb, A., Akın, E., Kaymakçalan, B. (2021) "Generalization of Mitrinovic-Pecaric inequalities on time scales", Rocky Mountain Journal of Mathematics, 51 (6) pp. 1909-1918 [SCI Expanded] DOI
Kayar, Z., Kaymakçalan, B. (2021) "Extensions of Diamond Alpha Hardy-Copson Type Dynamic Inequalities and Their Applications to Oscillation Theory", Dynamic Systems and Applications, 30 (0) DOI
Kayar, Z., Kaymakçalan, B. (2021) "Some Extended Nabla and Delta Hardy-Copson Type Inequalities with Applications in Oscillation Theory", Bulletin of the Iranian Mathematical Society, (0) [SCI Expanded] DOI
Kayar, Z., Kaymakçalan, B., Pelen, N.N. (2021) "Bennett-Leindler Type Inequalities for Nabla Time Scale Calculus", Mediterranean Journal of Mathematics, 18 (0) [SCI Expanded] DOI
Kayar, Z., Kaymakçalan, B. (2021) "Hardy-Copson type inequalities for nabla time scale calculus", TURKISH JOURNAL OF MATHEMATICS, 45 (0) [SCI Expanded] DOI
Pelen, N.N., Güvenilir, A.F., Kaymakçalan, B. (2017) "Some results on predator-prey dynamic systems with Beddington-Deangelis type functional response on time scale calculus", DYNAMIC SYSTEMS AND APPLICATIONS, (0) [SCI Expanded] Link
Pelen, N.N., Güvenilir, A.F., Kaymakçalan, B. (2016) "Necessary and sufficient condition for existence of periodic solutions of predator-prey dynamic systems with Beddington-DeAngelis-type functional response", Advances in Difference Equations, 2016 (0) [SCI Expanded] DOI
Pelen, N.N., Güvenilir, A.F., Kaymakçalan, B. (2016) "Behavior of the Solutions for Predator-Prey Dynamic Systems with Beddington-DeAngelis Type Functional Response on Periodic Time Scales in Shifts", Abstract and Applied Analysis, 2016 (0) DOI
Akın, E., Aslıyüce, S., Güvenilir, A.F., Kaymakçalan, B. (2015) "Discrete Grüss type inequality on fractional calculus", Journal of Inequalities and Applications, 2015 (0) [SCI Expanded] DOI
Güvenilir, A.F., Kaymakçalan, B., Pelen, N.N. (2015) "Constantin's inequality for nabla and diamond-alpha derivative", Journal of Inequalities and Applications, 2015 (0) [SCI Expanded] DOI
Güvenilir, A.F., Kaymakçalan, B., Pelen, N.N. (2015) "Impulsive Predator-Prey Dynamic Systems with Beddington-DeAngelis Type Functional Response on the Unification of Discrete and Continuous Systems", Applied Mathematics, 6 (0) [SCI Expanded] DOI
A, G.F., Billur, K., Allan, P., Kenan, T. (2014) "Nabla discrete fractional Grüss type inequality", JOURNAL OF INEQUALITIES AND APPLICATIONS, 86 (0) [SCI Expanded] DOI
Karapınar, E., Kaymakçalan, B., Taş, K. (2012) "On coupled fixed point theorems on partially ordered G-metric spaces", Journal of Inequalities and Applications, 2012 (200) pp. 1-13 [SCI Expanded] DOI
Jarad, F., Kaymakçalan, B., Taş, K. (2012) "A new transform method in nabla discrete fractional calculus", Advances in Difference Equations, 2012 (190) [SCI Expanded] DOI
Atasever, N., Kaymakçalan, B., Leseja, G., Taş, K. (2012) "Generalized diamond-α dynamic opial inequalities", Advances in Difference Equations, 2012 (109) [SCI Expanded] DOI
R, G.S., P, A.R., B, K. (2011) "Oscillation Criteria for Even Order Dynamic Equations on Time Scales", INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 72 (4) pp. 591-597 [SCI Expanded] Link
B, K., Ö, Ö., B, K. (2010) "A dynamic generalization of Opial s inequality and its applications to second order dynamic equations", Differential Equations and Dynamical Systems, 18 (1) [SCI Expanded]
Karpuz, B., Kaymakçalan, B., Öcalan, Ö. (2010) "A generalization of Opial's inequality and applications to second-order dynamic equations", Differential Equations and Dynamical Systems, 18 (0) DOI
Basak, K., Billur, K., Mutlu, O.U. (2010) "Some multi-dimensional Opial-type inequalities on time scales", Journal of Mathematical Inequalities, (2) pp. 207-216 [SCI Expanded] DOI
Mutlu, Ö.U., Billûr, K. (2009) "Basics of diamond partial dynamic calculus on time scales", Mathematical and Computer Modelling, 50 (0) pp. 1253-1261 [SCI Expanded] Link DOI
P, A.R., R, G.S., B, K., Saejie, W. (2009) "On the oscillation of certain second order nonlinear dynamic equations", Mathematical and Computer Modelling, 50 (0) pp. 273-286 [SCI Expanded] DOI
Grace, S., Agarwal, R., Kaymakçalan, B., Sae-Jıe, W. (2009) "Oscillation theorems for second order nonlinear dynamic equations", Journal of Applied Mathematics and Computing, 32 (0) DOI
Grace, S., Agarwal, R., Kaymakçalan, B., Sae-Jıe, W. (2008) "Oscillation criteria for second order nonlinear dynamic equations", Canadian Applied Mathematics Quarterly, 16 (0) Link
Kaymakçalan, B., Mert, R., Zafer, A. (2007) "Asymptotic equivalence of dynamic systems on time scales", Discrete and Continuous Dynamical Systems. Series A, (0) Link
Kaymakçalan, B., Zafer, A. (2007) "Langenhop's inequality and applications for dynamic equations", ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, (0) [SCI Expanded] Link
Atıcı, F., Cabada, A., Chyan, C., Kaymakçalan, B. (2005) "Nagumo type existence results for second-order nonlinear dynamic BVPS", Nonlinear Analysis: Theory, Methods & Applications, 60 (0) [SCI Expanded] DOI
Kaymakçalan, B., Lawrance, B. (2003) "Quasilinearization for a nonlinear initial value problem on time scales", Dynamic Systems and Applications, (0) [SCI Expanded] Link
Kaymakçalan, B., Lawrance, B. (2003) "Coupled solutions and monotone iterative techniques for some nonlinear initial value problems on time scales", Nonlinear Analysis: Real World Applications, 4 (0) [SCI Expanded] DOI
Guseınov, G., Kaymakçalan, B. (2003) "Lyapunov inequalities for discrete linear Hamiltonian systems", Computers & Mathematics with Applications, 45 (0) [SCI Expanded] DOI
Guseınov, G., Kaymakçalan, B. (2002) "Basics of Riemann Delta and Nabla Integration on Time Scales", Journal of Difference Equations and Applications, 8 (0) [SCI Expanded] DOI
Guseınov, G., Kaymakçalan, B. (2002) "On a disconjugacy criterion for second order dynamic equations on time scales", Journal of Computational and Applied Mathematics, 141 (0) [SCI Expanded] DOI
M, A.F., P, E., B, K. (2002) "The quasilinearization method for boundary value problems on time scales", Journal of Mathematical Analysis and Applications, 276 (0) pp. 357-372 [SCI Expanded] DOI
Akın, E., Erbe, L., Peterson, A., Kaymakçalan, B. (2001) "Oscillation results for a dynamic equation on a time scale", Journal of Difference Equations and Applications, 7 (0) [SCI Expanded] DOI
M, B., B, K. (2001) "Opial inequalities on time scales", Annales Polonici Mathematici, 77 (1) pp. 11-20 DOI
Atıcı, F., Guseınov, G., Kaymakçalan, B. (2000) "On Lyapunov inequality in stability theory for Hill's equation on time scales", Journal of Inequalities and Applications, 2000 (0) [SCI Expanded] DOI
Kaymakçalan, B. (1999) "A survey of dynamic systems on measure chains", Functional Differential Equations, 6 (0) pp. 125-135
Krıshna, S.V., Srınıvasu, P.D.N., Kaymakçalan, B. (1998) "Conservation of an Ecosystem through Optimal Taxation", Bulletin of Mathematical Biology, 60 (0) [SCI Expanded] DOI
Zafer, A., Kaymakçalan, B., Özgün, S.A. (1998) "Asymptotic behavior of higher-order nonlinear equations on time scales", Computers & Mathematics with Applications, 36 (0) [SCI Expanded] DOI
Kaymakçalan, B., Leela, S. (1994) "A survey of dynamic systems on time scales", Nonlinear Times and Digest. An International Multidisciplinary Journal of the International Federation of Nonlinear Analysts, 1 (0) pp. 37-60
Lakshmıkantham, V., Kaymakçalan, B. (1994) "Monotone flows and fixed points for dynamic systems on time scales", Computers & Mathematics with Applications, 28 (0) [SCI Expanded] DOI
Kaymakçalan, B., Rangarajan, L. (1994) "Variation of Lyapunov's Method for Dynamic Systems on Time Scales", Journal of Mathematical Analysis and Applications, 185 (0) [SCI Expanded] DOI
Kaymakçalan, B. (1993) "Existence and Comparison Results for Dynamic Systems on a Time Scale", Journal of Mathematical Analysis and Applications, 172 (0) [SCI Expanded] DOI
Kaymakçalan, B. (1993) "Monotone iterative method for dynamic systems on time scales", Dynamic Systems and Applications, 2 (0) pp. 213-220
Kaymakçalan, B. (1993) "Stability analysis in terms of two measures for dynamic systems on time scales", Journal of Applied Mathematics and Stochastic Analysis, 6 (0) DOI
Kaymakçalan, B. (1992) "Lyapunov stability theory for dynamic systems on time scales", Journal of Applied Mathematics and Stochastic Analysis, 5 (0) DOI
Bildiriler
Kaymakçalan, B., Kayar, Z. (2021) "Genelleştirilmiş diamond-alpha Hardy-Copson tipi dinamik eşitsizlikler", 33. Ulusal Matematik Sempozyumu , (pp. 61), Türkiye, (Ağustos 2021)
Kaymakçalan, B., Kayar, Z. (2021) "Diamond-alpha Hardy-Copson type dynamic inequalities and their extensions", The 26th International Conference on Difference Equations and Applications (ICDEA 2021) , (pp. 165), Bosna Hersek, (Temmuz 2021)
Kaymakçalan, B., Kayar, Z., Pelen, N.N. (2020) "On Hardy, Copson, Bennett, Leindler type dynamic inequalities", 3rd International Conference on Pure and Applied Mathematics (ICPAM-VAN 2020) , (pp. 23), Türkiye, (Eylül 2020)
Kitaplar
V, V.L., S, S., B, K. (1996) "Dynamic Systems on Measure Chains", : Kluwer
Kitap Bölümleri
Özgün, S.A., Zafer, A., Kaymakçalan, B. (2021) "Advances in Difference Equations: Proceedings of the Second International Conference on Difference Equations (Veszprem, 1995)", : Gordon and Breach
Pelen, N.N., Güvenilir, A.F., Kaymakçalan, B. (2018) "Advanced Technologies of Quantum Key Distribution", : Intech Open
Guseınov, G., Kaymakçalan, B. (2004) "Proceedings of the Sixth International Conference on Difference Equations", : CRC Press
Akın, E., Atıcı, F., Kaymakçalan, B. (2003) "Advances in dynamic equations on time scales", : Birkh\"{a}user
Atıcı, F., Guseınov, G., Kaymakçalan, B. (2001) "Dynamic systems and applications, Vol. 3 (Atlanta, GA, 1999)", : Dynamic Publishers
Diğer Yayınlar
Kayıt Yok
Bilimsel Dergi Editörlükleri
(Ulusal - Dergi) Çankaya University Journal of Science and Engineering, 2012, Editör
Bilimsel Yayınlarda Hakemlikler
Kayıt Yok
Bilimsel ve Mesleki Kuruluşlardaki Üyelikler
Başkan, Kadın Matematikçiler Derneği, 2012-
Üye, Türk Matematik Derneği, 1995-
Atıflar
Yıllara Göre Atıf Sayıları
Atıf Sayılarına Göre Yayınlar
Sıra Yayın Makale
(WoS)
Makale
(ESCI)
Makale
(Scopus)
Makale
(TR Dizin)
Kitap
(Uluslararası)
Kitap
(Ulusal)
Makale
(Diğer)
Toplam Atıf
1
Some results on predator-prey dynamic systems with Beddington-Deangelis type functional response on time scale calculus
DYNAMIC SYSTEMS AND APPLICATIONS
2 0 0 0 0 2 4
2
Discrete Grüss type inequality on fractional calculus
Journal of Inequalities and Applications
3 0 0 0 0 0 3
3
Lyapunov inequalities for discrete linear Hamiltonian systems
Computers & Mathematics with Applications
3 0 0 0 0 0 3
4
Conservation of an Ecosystem through Optimal Taxation
Bulletin of Mathematical Biology
2 0 0 0 0 0 2
5
Basics of Riemann Delta and Nabla Integration on Time Scales
Journal of Difference Equations and Applications
1 0 0 0 0 0 1
6
A new transform method in nabla discrete fractional calculus
Advances in Difference Equations
1 0 0 0 0 0 1
7
On Lyapunov inequality in stability theory for Hill's equation on time scales
Journal of Inequalities and Applications
1 0 0 0 0 0 1
8
On a disconjugacy criterion for second order dynamic equations on time scales
Journal of Computational and Applied Mathematics
1 0 0 0 0 0 1
9
Some multi-dimensional Opial-type inequalities on time scales
Journal of Mathematical Inequalities
1 0 0 0 0 0 1
Ödüller
(1997) "Mustafa Parlar Araştırma ve Teşvik Ödülü" ORTA DOĞU TEKNİK ÜNİVERSİTESİ
(1993) "Graduate Student Research paper" Sigma Xsi-The Scientific Research Society
Kongre/Sempozyum Görevleri
Kayıt Yok
Kayıt Yok
Tasarımlar
Kayıt Yok
Sanatsal Etkinlikler
Kayıt Yok
Birlikte çalışılan kişi Aktif Dönem Çalışma Sayısı
Zeynep Kayar
Van Yüzüncü Yıl Üniversitesi
2020 - 2022 12
Neslihan Nesliye Pelen
Ondokuz Mayıs Üniversitesi
2015 - 2021 9
Ayşe Feza Güvenilir
Ankara Üniversitesi
2015 - 2018 7
Guseın Guseınov
-
2000 - 2004 6
Ağacık Zafer
-
1998 - 2021 4
Elvan Akın
-
2001 - 2021 4
Ferhan Atıcı
-
2000 - 2005 4
Kenan Taş
-
2012 3
Agarwal Ravi P
-
2009 - 2011 2
Bonıta Lawrance
-
2003 2
Grace Said R
-
2009 - 2011 2
Ravı Agarwal
-
2008 - 2009 2
S. A. Özgün
-
1998 - 2021 2
Saıd Grace
-
2008 - 2009 2
Wıchuta Sae-Jıe
-
2008 - 2009 2
Özkan Öcalan
-
2010 1
Başak Karpuz
-
2010 1
Raziye Mert
Adana Alparslan Türkeş Bilim ve Teknoloji Üniversitesi
2007 1
Serkan Aslıyüce
-
2015 1
Ahmed El-Deeb
-
2021 1
Alberto Cabada
-
2005 1
Allan Peterson
-
2001 1
Atıcı Ferhan M
-
2002 1
Bohner M
-
2001 1
Chan Chyan
-
2005 1
E Karapınar
-
2012 1
Eloe P
-
2002 1
F Jarad
-
2012 1
G Leseja
-
2012 1
Güvenilir Feza A
-
2014 1
Karpuz B
-
2010 1
Karpuz Basak
-
2010 1
L. Rangarajan
-
1994 1
Lynn Erbe
-
2001 1
N Atasever
-
2012 1
Ozkan Umut Mutlu
-
2010 1
Öcalan Ö
-
2010 1
Özkan Umut Mutlu
-
2009 1
P. D. N. Srınıvasu
-
1998 1
Peterson Allan
-
2014 1
S. Leela
-
1994 1
S. V. Krıshna
-
1998 1
Sivasundaram S
-
1996 1
Taş Kenan
-
2014 1
V. Lakshmıkantham
-
1994 1
V. LakshmikanthamLakshmikantham V
-
1996 1
Wichuta Saejie
-
2009 1