논문KCI 등재
Existence and Stability Results on Nonlinear Delay Integro-Differential Equations with Random Impulses
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper, the existence, uniqueness, stability via continuous dependenceand Ulam stabilities of nonlinear integro-differential equations with random impulses arestudied under sufficient condition. The results are obtained by using Leray-Schauder alternativefixed point theorem and Banach contraction principle.
Abstract
In this paper, the existence, uniqueness, stability via continuous dependenceand Ulam stabilities of nonlinear integro-differential equations with random impulses arestudied under sufficient condition. The results are obtained by using Leray-Schauder alternativefixed point theorem and Banach contraction principle.
참고문헌 (33)
- B. Ahmad, "Approximation of solutions of the nonlinear Duffing equation involving both integral and non-integral forcing terms with separated bound-ary conditions", Computer Physics Communications, 179(6), pp.409~416 (2008)
- B. Ahmad, "On the existence of T-periodic solutions for Duffing type integro-differential equations with p-Laplacian", Lobachevskii Journal of Mathematics, 29(1), pp.1~4 (2008)
- A. Anguraj, "Existence results for an impulsive partial neutral functional differential equations with state - dependent delay", Appl. Anal., 86(7), pp.861~872 (2007)
- A. Anguraj, "Existence and Exponential Stability of Semilinear Functional Differential Equations with Random Impulses under Non-uniqueness", Nonlinear Anal. TMA, 74, pp.331~342 (2011)
- A. Anguraj, "EXISTENCE, UNIQUENESS AND STABILITY OF IMPULSIVE STOCHASTIC PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS", Journal of Applied Mathematics and Informatics, 28(3), pp.739~751 (2010), 한국전산응용수학회
- A. Anguraj, "Existence and Uniqueness of Neutral Functional Differ-ential Equations with Random Impulses, I", J. Nonlinear Sci., 8(4), pp.412~418 (2009)
- T. A. Burton, "Stability by Fixed Point Theory for Functional Differential Equations" (2006), Dover Publications, Inc.
- M. Gowrisankar, "Stability Results of Ran-dom Impulsive Semilinear Differential Equations", Acta Mathematica Scientia, 34(4), pp.1055~1071 (2014)
- R. Haloi, "Existence and Uniqueness of a So-lution for a Non-Autonomous Semilinear Integro-Differential EquationWith Deviated Argument", Differ. Equ. Dyn. Syst., 20(1), pp.1~16 (2012)
- E. Hernandez, "Existence of solutions for impulsive partial neutral functional differential equations", J. Math. Anal. Appl., 331, pp.1135~1158 (2007)
- D. H. Hyers, "On the stability of the linear functional equation", Proc. Nat. Acad. Sci, 27, pp.222~224 (1941)
- R. Iwankievicz, "Dynamic response of non-linear systems to Poisson distributed random impulses", Journal of Sound Vibration, 156, pp.407~423 (1992)
- V. Lakshmikantham, "Theory of Impulsive Differential Equations" (1989), World Scientific
- X. Li, "Ulam-Hyers-Rassias stability of semilinear differential equations with impulses", Electron. J. Diff. Equ., 172, pp.1~8 (2013)
- A. M. Samoilenko, "Impulsive Differential Equations" (1995), World Scientific
- J. M. Sanz-Serna, "Ergodicity of dissipative differential equations subject to random impulses", J. Diff. Eqns, 155, pp.262~284 (1999)
- K. Tatsuyuki, "Drift motion of granules in chara cells induced by random impulses due to the myosinctininteraction", Physica A, 248, pp.21~27 (1998)
- S. M. Ulam, "A collection of mathematical problems" (1968), Interscience Publishers
- A. Vinodkumar, "Existence, uniqueness and stability of random impulsive neutral partial differential equations", J. The Egyptian Mathematical Society, 23, pp.31~36 (2015)
- A. Vinodkumar, "Existence of random impulsive abstract neutral non-autonomous differential inclusions with delays", Nonlinear Anal. Hybrid Syst, 5, pp.413~426 (2011)
- A.Vinodkumar, "Existence results on random impulsive semilinear functional differ-ential inclusions with delays", Ann. Funct. Anal., 3(2), pp.89~106 (2012)
- J. Wang, "Ulam stability and data dependence for fractional differential equations with Caputo derivative", Electron. J. Qual. Theory Differ. Equ., 63, pp.1~10 (2011)
- J. Wang, "New concepts and results in stability of fractional differential equations", Commun. Nonlinear Sci. Numer. Simul., 17, pp.2530~2538 (2012)
- J. Wang, "Nonlinear impulsive problems for fractional dif-ferential equations and Ulam stability", Comput. Math. Appl., 64, pp.3389~3405 (2012)
- J. Wang, "Ulam's type stability of impulsive ordinary differ-ential equations", J. Math. Anal. Appl., 395, pp.258~264 (2012)
- Wei Wei, "New stability results for fractional integral equation", Comput. Math. Appl., 64, pp.3468~3476 (2012)
- S. J. Wu, "Boundedness of nonlinear differential systems with impulsive effect on random moments", Acta Math. Appl. Sin., 20(1), pp.147~154 (2004)
- S. J. Wu, "Oscillation, stability, and boundedness of second-order differ-ential systems with random impulses", Comput. Math. Appl., 49(9-10), pp.1375~1386 (2005)
- S. J. Wu, "Existence and uniqueness of solutions to random impulsive differential systems", Acta Math. Appl. Sin., 22(4), pp.595~600 (2006)
- S. J. Wu, "p¡moment stability of functional differential equations with random impulses", Comput. Mathe. Appl., 52, pp.1683~1694 (2006)
- S. J. Wu, "Almost sure stability of functional differential equations with random impulses", Math. Anal., 15, pp.403~415 (2008)
- Z. Yan, "Nonlocal problems for delay integrodifferential equations in Banach spaces", Differ. Eqn. Appl., 2(1), pp.15~24 (2010)
- S. Zhang, "Stability analysis of second-order differential systems with Erlang distribution random impulses", Advances in Difference Equations, 4, pp.403~415 (2013)
관련 논문AI추천
On stability of nonlinear integro-differential systems with impulsive effect강보원, 구남집, 이현희대한수학회 · 대한수학회논문집2020 · 제35권 제3호Hyers-Ulam stability of fractional stochastic differential equations with random impulseBanupriya Kandasamy, Dumitru Baleanu, Ramkumar Kasinathan, Ravikumar Kasinathan, Varshini Sandrasekaran대한수학회 · 대한수학회논문집2023 · 제38권 제3호Controllability of second-order impulsive functional differential equations with state-dependent delayGanesan Arthi, Krishnan Balachandran대한수학회 · 대한수학회보2011 · 제48권 제6호Existence results of Sobolev type neutral impulsive integrodierential equations in Banach spacesR. Murugesu, R.Nirmalkumar, R. Poongodi장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제1호Uniqueness of solution for impulsive fractional functional differential equationPattani Samsudeen Sehik Uduman, Sandeep Singhal대한수학회 · 대한수학회논문집2018 · 제33권 제1호Second Order Impulsive Neutral Functional Differential InclusionsYicheng Liu, Zhixiang Li경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제1호
이 간행물의 다른 논문 (23건)
An error embedded Runge-Kutta method for initial value problems부선영, 김필수, 정원규pp. 311-327Korobov Polynomials of the Fifth Kind and of the Sixth KindToufik Mansour, 김대산, 김태균, Hyuck In Kwonpp. 329-342Posner's First Theorem for ∗-ideals in Prime Rings with InvolutionMohammad Ashraf, Mohammad Aslam Siddeequepp. 343-347On the Numbers of PalindromesYan-Quan Feng, 이자은, Sejeong Bangpp. 349-355On Deferred Statistical Convergence of SequencesMujde Yimazturk, Mehme Kucukaslanpp. 357-366
