Impulsive nonlocal differential equations through differential equations on time scales

被引：18

作者：

Cichon, Mieczyslaw ^{[2
]}

Satco, Bianca ^{[1
]}

Sikorska-Nowak, Aneta ^{[2
]}

机构：

[1] Stefan Cel Mare Univ, Fac Elect Engn & Comp Sci, Suceava, Romania

[2] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-61614 Poznan, Poland

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 06期

关键词：

Time scale; Dynamic equation; Impulsive nonlocal Cauchy problem; Henstock-Lebesgue integral; DYNAMIC EQUATIONS; INTEGRAL-EQUATIONS; EXISTENCE; INCLUSIONS; THEOREMS; LEBESGUE; DELTA;

D O I：

10.1016/j.amc.2011.07.057

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose a non-standard approach to impulsive differential equations in Banach spaces by embedding this type of problems into differential (dynamic) problems on time scales. We give an existence result for dynamic equations and, as a consequence, we obtain an existence result for impulsive differential equations. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：2449 / 2458

页数：10

共 50 条

[41] Impulsive differential equations with initial time difference and applications
Zhang, Y
Zhang, B
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2002, 9 (03): : 439 - 447
[42] Lyapunov stability for measure differential equations and dynamic equations on time scales
Federson, M.
Grau, R.
Mesquita, J. G.
Toon, E.
JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 267 (07) : 4192 - 4223
[43] Prolongation of solutions of measure differential equations and dynamic equations on time scales
Federson, M.
Grau, R.
Mesquita, J. G.
MATHEMATISCHE NACHRICHTEN, 2019, 292 (01) : 22 - 55
[44] Stability of impulsive linear differential equations with time delay
Zhang, Y
Sun, JT
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2005, 52 (10) : 701 - 705
[45] On Lp(k)-equivalence of impulsive differential equations and its applications to partial impulsive differential equations
Georgieva, A.
Kostadinov, S.
Stamov, G. T.
Alzabut, J. O.
ADVANCES IN DIFFERENCE EQUATIONS, 2012,
[46] On Lp(k)-equivalence of impulsive differential equations and its applications to partial impulsive differential equations
A Georgieva
S Kostadinov
GT Stamov
JO Alzabut
Advances in Difference Equations, 2012
[47] Antiperiodic Boundary Value Problem for Second-Order Impulsive Differential Equations on Time Scales
Yepeng Xing
Qiong Wang
De Chen
Advances in Difference Equations, 2009
[48] Antiperiodic Boundary Value Problem for Second-Order Impulsive Differential Equations on Time Scales
Xing, Yepeng
Wang, Qiong
Chen, De
ADVANCES IN DIFFERENCE EQUATIONS, 2009,
[49] Existence results for impulsive dynamic equations on time scales with nonlocal initial conditions
Chang, YK
Li, WT
MATHEMATICAL AND COMPUTER MODELLING, 2006, 43 (3-4) : 377 - 384
[50] Oscillation of Differential Equations with Variable Coefficients on Time Scales
Yan, Xin Zhou
ADVANCED MATERIALS AND PROCESSES II, PTS 1-3, 2012, 557-559 : 2100 - 2103

← 1 2 3 4 5 →