Nonlinear Integrodifferential Equations of Mixed Type in Banach Spaces
We prove two existence theorems for the integrodifferential equation of mixed type: x'(t)=f(t,x(t),∫0tk1(t,s)g(s,x(s))ds,∫0ak2(t,s)h(s,x(s))ds), x(0)=x0, where in the first part of this paper f, g, h, x are functions with values in a Banach space E and integrals are taken in the sense of Hensto...
Saved in:
Main Authors: | Aneta Sikorska-Nowak, Grzegorz Nowak |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2007-01-01
|
Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/2007/65947 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Existence Theory for Integrodifferential Equations and Henstock-Kurzweil Integral in Banach Spaces
by: Aneta Sikorska-Nowak
Published: (2007-01-01) -
Integrodifferential Equations on Time Scales with Henstock-Kurzweil-Pettis Delta Integrals
by: Aneta Sikorska-Nowak
Published: (2010-01-01) -
Instantaneous and Noninstantaneous Impulsive Integrodifferential Equations in Banach Spaces
by: Saïd Abbas, et al.
Published: (2020-01-01) -
Multiple Solutions for Boundary Value Problems of th-Order Nonlinear Integrodifferential Equations in Banach Spaces
by: Yanlai Chen
Published: (2013-01-01) -
A Class of Fractional p-Laplacian Integrodifferential Equations in Banach Spaces
by: Yiliang Liu, et al.
Published: (2013-01-01)