Existence results for impulsive dynamic equations on time scales with nonlocal initial conditions

In this paper, we shall give some existence results for a certain class of first order impulsive dynamic equations on time scales with nonlocal initial conditions. The approach used is the Sadoviskii's fixed point theorem.

[1]  Juan J. Nieto,et al.  Impulsive resonance periodic problems of first order , 2002, Appl. Math. Lett..

[2]  Martin Bohner,et al.  First and second order linear dynamic equations on time scales , 2001 .

[3]  L. Byszewski Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem , 1991 .

[4]  Pablo Amster,et al.  Existence of solutions to boundary value problems for dynamic systems on time scales , 2005 .

[5]  Juan J. Nieto,et al.  Basic Theory for Nonresonance Impulsive Periodic Problems of First Order , 1997 .

[6]  Wan-Tong Li,et al.  Multiple positive solutions for nonlinear dynamical systems on a measure chain , 2004 .

[7]  Juan J. Nieto,et al.  Antiperiodic boundary value problem for first-order impulsive ordinary differential equations , 2005 .

[8]  Johnny Henderson,et al.  On First Order Impulsive Dynamic Equations on Time Scales , 2004 .

[9]  Lynn Erbe,et al.  Existence of solutions to second-order BVPs on time scales , 2005 .

[10]  V. Lakshmikantham,et al.  Theory of Impulsive Differential Equations , 1989, Series in Modern Applied Mathematics.

[11]  Abdelghani Ouahab,et al.  Existence results for second order boundary value problem of impulsive dynamic equations on time scales , 2004 .

[12]  Wan-Tong Li,et al.  Positive solutions for nonlinear three-point boundary value problems on time scales , 2004 .

[13]  Abdelkader Boucherif First-order differential inclusions with nonlocal initial condition , 2002, Appl. Math. Lett..

[14]  F. Atici,et al.  First- and second-order dynamic equations with impulse , 2005 .

[15]  Johnny Henderson,et al.  Double Solutions of Impulsive Dynamic Boundary Value Problems on a Time Scale , 2002 .

[16]  Lynn Erbe,et al.  Positive solutions for a nonlinear differential equation on a measure chain , 2000 .

[17]  A. Peterson,et al.  Dynamic Equations on Time Scales: An Introduction with Applications , 2001 .

[18]  Ravi P. Agarwal,et al.  Nonlinear boundary value problems on time scales , 2001 .