@article{MTMT:31177822, title = {A Delay Differential Equation with an Impulsive Self-Support Condition}, url = {https://m2.mtmt.hu/api/publication/31177822}, author = {Federson, M. and Győri, István and Mesquita, J.G. and Táboas, P.}, doi = {10.1007/s10884-019-09750-5}, journal-iso = {J DYN DIFFER EQU}, journal = {JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS}, volume = {32}, unique-id = {31177822}, issn = {1040-7294}, year = {2020}, eissn = {1572-9222}, pages = {605-614} } @article{MTMT:31106986, title = {On the fundamental solution and its application in a large class of differential systems determined by Volterra type operators with delay}, url = {https://m2.mtmt.hu/api/publication/31106986}, author = {Győri, István and Horváth, László}, doi = {10.3934/dcds.2020089}, journal-iso = {DISCRETE CONT DYN S}, journal = {DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES A}, volume = {40}, unique-id = {31106986}, issn = {1078-0947}, abstract = {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.}, keywords = {Volterra type operator; linear functional differential and integral systems; variation-of-constants formula}, year = {2020}, eissn = {1553-5231}, pages = {1665-1702} } @article{MTMT:30476651, title = {Unbounded and blow-up solutions for a delay logistic equation with positive feedback}, url = {https://m2.mtmt.hu/api/publication/30476651}, author = {Győri, István and Nakata, Yukihiko and Röst, Gergely}, doi = {10.3934/cpaa.2018134}, journal-iso = {COMMUN PUR APPL ANAL}, journal = {COMMUNICATIONS ON PURE AND APPLIED ANALYSIS}, volume = {17}, unique-id = {30476651}, issn = {1534-0392}, abstract = {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.}, keywords = {STABILITY; Delay differential equation; Blow-up; Delay logistic equation}, year = {2018}, eissn = {1553-5258}, pages = {2845-2854}, orcid-numbers = {Röst, Gergely/0000-0001-9476-3284} } @article{MTMT:3393932, title = {Sharp estimation for the solutions of inhomogeneous delay differential and Halanay type inequalities}, url = {https://m2.mtmt.hu/api/publication/3393932}, author = {Győri, István and Horváth, László}, doi = {10.14232/ejqtde.2018.1.54}, journal-iso = {ELECTRON J QUAL THEOR DIFFER EQUAT}, journal = {ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS}, unique-id = {3393932}, issn = {1417-3875}, year = {2018}, eissn = {1417-3875}, pages = {1-18} } @article{MTMT:3390143, title = {Permanence in a class of delay differential equations with mixed monotonicity}, url = {https://m2.mtmt.hu/api/publication/3390143}, author = {Győri, István and Hartung, Ferenc and Mohamady, Nahed Abdelfattah}, doi = {10.14232/ejqtde.2018.1.53}, journal-iso = {ELECTRON J QUAL THEOR DIFFER EQUAT}, journal = {ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS}, volume = {2018}, unique-id = {3390143}, issn = {1417-3875}, year = {2018}, eissn = {1417-3875}, pages = {1-21}, orcid-numbers = {Hartung, Ferenc/0000-0001-7953-3480} } @article{MTMT:3387716, title = {BIBO stability of discrete control systems with several time delays}, url = {https://m2.mtmt.hu/api/publication/3387716}, author = {Awwad, E and Győri, István and Hartung, Ferenc}, doi = {10.18514/MMN.2018.2335}, journal-iso = {MISKOLC MATH NOTES}, journal = {MISKOLC MATHEMATICAL NOTES}, volume = {19}, unique-id = {3387716}, issn = {1787-2405}, year = {2018}, eissn = {1787-2413}, pages = {95-109}, orcid-numbers = {Hartung, Ferenc/0000-0001-7953-3480} } @article{MTMT:3308726, title = {Boundedness of positive solutions of a system of nonlinear delay differential equations}, url = {https://m2.mtmt.hu/api/publication/3308726}, author = {Győri, István and Hartung, Ferenc and Mohamady, Nahed Abdelfattah}, doi = {10.3934/dcdsb.2018044}, journal-iso = {DISCRETE CONT DYN-B}, journal = {DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B}, volume = {23}, unique-id = {3308726}, issn = {1531-3492}, year = {2018}, eissn = {1553-524X}, pages = {809-836}, orcid-numbers = {Hartung, Ferenc/0000-0001-7953-3480} } @inproceedings{MTMT:3322632, title = {Connection Between Continuous and Discrete Delay and Halanay type Inequalities}, url = {https://m2.mtmt.hu/api/publication/3322632}, author = {Győri, István and Horváth, László}, booktitle = {Advances in Difference Equations and Discrete Dynamical Systems}, doi = {10.1007/978-981-10-6409-8_5}, unique-id = {3322632}, year = {2017}, pages = {91-111} } @article{MTMT:3322580, title = {Sharp estimation for the solutions of delay differential and Halanay type inequalities}, url = {https://m2.mtmt.hu/api/publication/3322580}, author = {Győri, István and Horváth, László}, doi = {10.3934/dcds.2017137}, journal-iso = {DISCRETE CONT DYN S}, journal = {DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES A}, volume = {37}, unique-id = {3322580}, issn = {1078-0947}, year = {2017}, eissn = {1553-5231}, pages = {3211-3242} } @article{MTMT:3138630, title = {Existence and uniqueness of positive solutions of a system of nonlinear algebraic equations}, url = {https://m2.mtmt.hu/api/publication/3138630}, author = {Győri, István and Hartung, Ferenc and Mohamady, Nahed Abdelfattah}, doi = {10.1007/s10998-016-0179-3}, journal-iso = {PERIOD MATH HUNG}, journal = {PERIODICA MATHEMATICA HUNGARICA}, volume = {75}, unique-id = {3138630}, issn = {0031-5303}, year = {2017}, eissn = {1588-2829}, pages = {114-127}, orcid-numbers = {Hartung, Ferenc/0000-0001-7953-3480} }