Lp-equivalence of a linear and a nonlinear impulsive differential equation in a Banach space

1 February 1993

journal article
research article
Published by Cambridge University Press (CUP) in Proceedings of the Edinburgh Mathematical Society

Vol. 36 (1) , 17-33
https://doi.org/10.1017/s0013091500005861

Abstract

In the present paper by means of the Schauder-Tychonoff principle sufficient conditions are obtained for Lp-equivalence of a linear and a nonlinear impulsive differential equations.

Keywords

BANACH SPACE

This publication has 5 references indexed in Scilit:

Population dynamics control in regard to minimizing the time necessary for the regeneration of a biomass taken away from the population
ESAIM: Mathematical Modelling and Numerical Analysis, 1990
Exponential dichotomy of linear impulsive differential equations in a Banach space
International Journal of Theoretical Physics, 1989
Characteristic exponents of impulsive differential equations in a banach space
International Journal of Theoretical Physics, 1988
Stability of the general exponent of nonlinear impulsive differential equations in a Banach space
International Journal of Theoretical Physics, 1988
On the asymptotic relationships between solutions of two systems of ordinary differential equations
Journal of Differential Equations, 1969