TY - JOUR AU - Federson, M. AU - Győri, István AU - Mesquita, J.G. AU - Táboas, P. TI - A Delay Differential Equation with an Impulsive Self-Support Condition JF - JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS J2 - J DYN DIFFER EQU VL - 32 PY - 2020 SP - 605 EP - 614 PG - 10 SN - 1040-7294 DO - 10.1007/s10884-019-09750-5 UR - https://m2.mtmt.hu/api/publication/31177822 ID - 31177822 N1 - ICMC-Universidade de São Paulo, Caixa Postal 668, São Carlos, SP 13560-970, Brazil Departamento de Matemática, Campus Universitário Darcy Ribeiro, Universidade de Brasília, Asa Norte, Brasília, DF 70910-900, Brazil Department of Mathematics, University of Pannonia, Egyetem u. 10, Pf158, Veszprém, 8201, Hungary Export Date: 14 February 2020 Correspondence Address: Mesquita, J.G.; Departamento de Matemática, Campus Universitário Darcy Ribeiro, Universidade de Brasília, Asa Norte, Brazil; email: jgmesquita@unb.br LA - English DB - MTMT ER - TY - JOUR AU - Győri, István AU - Horváth, László TI - On the fundamental solution and its application in a large class of differential systems determined by Volterra type operators with delay JF - DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES A J2 - DISCRETE CONT DYN S VL - 40 PY - 2020 IS - 3 SP - 1665 EP - 1702 PG - 38 SN - 1078-0947 DO - 10.3934/dcds.2020089 UR - https://m2.mtmt.hu/api/publication/31106986 ID - 31106986 N1 - Cited By :1 Export Date: 18 November 2022 Correspondence Address: Horváth, L.; Department of Mathematics, Egyetem u. 10, Hungary; email: lhorvath@almos.uni-pannon.hu AB - The variation-of-constants formula is one of the principal tools of the theory of differential equations. There are many papers dealing with different versions of the variation-of-constants formula and its applications. Our main purpose in this paper is to give a variation-of-constants formula for inhomogeneous linear functional differential systems determined by general Volterra type operators with delay. Our treatment of the delay in the considered systems is completely different from the usual methods. We deal with the representation of the studied Volterra type operators. Some existence and uniqueness theorems are obtained for the studied linear functional differential and integral systems. Finally, some applications are given. LA - English DB - MTMT ER - TY - JOUR AU - Győri, István AU - Nakata, Yukihiko AU - Röst, Gergely TI - Unbounded and blow-up solutions for a delay logistic equation with positive feedback JF - COMMUNICATIONS ON PURE AND APPLIED ANALYSIS J2 - COMMUN PUR APPL ANAL VL - 17 PY - 2018 IS - 6 SP - 2845 EP - 2854 PG - 10 SN - 1534-0392 DO - 10.3934/cpaa.2018134 UR - https://m2.mtmt.hu/api/publication/30476651 ID - 30476651 N1 - Funding Agency and Grant Number: Hungarian National Research FundOrszagos Tudomanyos Kutatasi Alapprogramok (OTKA) [OTKA K120186, NKFI FK 124016, MSCA-IF 748193]; Szechenyi 2020 project [EFOP-3.6.1-16-2016-00015]; JSPSMinistry of Education, Culture, Sports, Science and Technology, Japan (MEXT)Japan Society for the Promotion of Science [16K20976]; NKFI Hungary-Japan bilateral cooperation project Funding text: The first author's research has been supported by the Hungarian National Research Fund Grant OTKA K120186 and the Szechenyi 2020 project EFOP-3.6.1-16-2016-00015. The second author was supported by JSPS Grant-in-Aid for Young Scientists (B) 16K20976. The third author was supported by Hungarian National Research Fund Grant NKFI FK 124016 and MSCA-IF 748193. The meeting of the authors have been supported by JSPS and NKFI Hungary-Japan bilateral cooperation project. AB - We study bounded, unbounded and blow-up solutions of a delay logistic equation without assuming the dominance of the instantaneous feedback. It is shown that there can exist an exponential (thus unbounded) solution for the nonlinear problem, and in this case the positive equilibrium is always unstable. We obtain a necessary and sufficient condition for the existence of blow-up solutions, and characterize a wide class of such solutions. There is a parameter set such that the non-trivial equilibrium is locally stable but not globally stable due to the co-existence with blow-up solutions. LA - English DB - MTMT ER - TY - JOUR AU - Győri, István AU - Horváth, László TI - Sharp estimation for the solutions of inhomogeneous delay differential and Halanay type inequalities JF - ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS J2 - ELECTRON J QUAL THEOR DIFFER EQUAT PY - 2018 IS - 54 SP - 1 EP - 18 PG - 18 SN - 1417-3875 DO - 10.14232/ejqtde.2018.1.54 UR - https://m2.mtmt.hu/api/publication/3393932 ID - 3393932 N1 - Funding Agency and Grant Number: Hungarian National Foundations for Scientific Research [K120186]; Szechenyi 2020 [EFOP-3.6.1-16-2016-00015] Funding text: The research of the authors has been supported by Hungarian National Foundations for Scientific Research Grant No. K120186.; The first author acknowledges the financial support of Szechenyi 2020 under the EFOP-3.6.1-16-2016-00015. LA - English DB - MTMT ER - TY - JOUR AU - Győri, István AU - Hartung, Ferenc AU - Mohamady, Nahed Abdelfattah TI - Permanence in a class of delay differential equations with mixed monotonicity JF - ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS J2 - ELECTRON J QUAL THEOR DIFFER EQUAT VL - 2018 PY - 2018 IS - 53 SP - 1 EP - 21 PG - 21 SN - 1417-3875 DO - 10.14232/ejqtde.2018.1.53 UR - https://m2.mtmt.hu/api/publication/3390143 ID - 3390143 N1 - Funding Agency and Grant Number: Hungarian National Foundation for Scientific ResearchOrszagos Tudomanyos Kutatasi Alapprogramok (OTKA) [K120186]; Szechenyi 2020 [EFOP-3.6.1-16-2016-00015] Funding text: This research was partially supported by the Hungarian National Foundation for Scientific Research Grant No. K120186. We acknowledge the financial support of Szechenyi 2020 under the EFOP-3.6.1-16-2016-00015. The authors would like to thank the anonymous referee for helpful comments and suggestions. LA - English DB - MTMT ER - TY - JOUR AU - Awwad, E AU - Győri, István AU - Hartung, Ferenc TI - BIBO stability of discrete control systems with several time delays JF - MISKOLC MATHEMATICAL NOTES J2 - MISKOLC MATH NOTES VL - 19 PY - 2018 IS - 1 SP - 95 EP - 109 PG - 15 SN - 1787-2405 DO - 10.18514/MMN.2018.2335 UR - https://m2.mtmt.hu/api/publication/3387716 ID - 3387716 LA - English DB - MTMT ER - TY - JOUR AU - Győri, István AU - Hartung, Ferenc AU - Mohamady, Nahed Abdelfattah TI - Boundedness of positive solutions of a system of nonlinear delay differential equations JF - DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B J2 - DISCRETE CONT DYN-B VL - 23 PY - 2018 IS - 2 SP - 809 EP - 836 PG - 28 SN - 1531-3492 DO - 10.3934/dcdsb.2018044 UR - https://m2.mtmt.hu/api/publication/3308726 ID - 3308726 LA - English DB - MTMT ER - TY - CHAP AU - Győri, István AU - Horváth, László ED - Elaydi, S ED - Hamaya, Y ED - Matsunaga, H ED - Pötzsche, C TI - Connection Between Continuous and Discrete Delay and Halanay type Inequalities T2 - Advances in Difference Equations and Discrete Dynamical Systems PB - Springer-Verlag Singapore CY - Singapore SN - 9789811064081 T3 - Springer Proceedings in Mathematics & Statistics, ISSN 2194-1009 ; 212. PY - 2017 SP - 91 EP - 111 PG - 21 DO - 10.1007/978-981-10-6409-8_5 UR - https://m2.mtmt.hu/api/publication/3322632 ID - 3322632 LA - English DB - MTMT ER - TY - JOUR AU - Győri, István AU - Horváth, László TI - Sharp estimation for the solutions of delay differential and Halanay type inequalities JF - DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES A J2 - DISCRETE CONT DYN S VL - 37 PY - 2017 IS - 6 SP - 3211 EP - 3242 PG - 21 SN - 1078-0947 DO - 10.3934/dcds.2017137 UR - https://m2.mtmt.hu/api/publication/3322580 ID - 3322580 LA - English DB - MTMT ER - TY - JOUR AU - Győri, István AU - Hartung, Ferenc AU - Mohamady, Nahed Abdelfattah TI - Existence and uniqueness of positive solutions of a system of nonlinear algebraic equations JF - PERIODICA MATHEMATICA HUNGARICA J2 - PERIOD MATH HUNG VL - 75 PY - 2017 IS - 1 SP - 114 EP - 127 PG - 14 SN - 0031-5303 DO - 10.1007/s10998-016-0179-3 UR - https://m2.mtmt.hu/api/publication/3138630 ID - 3138630 LA - English DB - MTMT ER -