Dynamic Local and Nonlocal Initial Value Problems in Banach Spaces

2021 ◽  
Author(s):  
Sanket Tikare ◽  
Martin Bohner ◽  
Bipan Hazarika ◽  
Ravi P. Agarwal
Keyword(s):  
Banach Spaces ◽  
Initial Value Problems ◽  
Initial Value

scholarly journals Existence results for second order functional differential and integrodifferential inclusions in Banach spaces

2001 ◽  
Vol 32 (4) ◽  
pp. 315-325
Author(s):  
M. Benchohra ◽  
S. K. Ntouyas
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Banach Spaces ◽  
Initial Value Problems ◽  
Existence Of Solutions ◽  
Existence Results ◽  
Second Order ◽  
Initial Value ◽  
Functional Differential ◽  
Condensing Maps

In this paper we investigate the existence of solutions on a compact interval to second order initial value problems for functional differential and integrodifferential inclusions in Banach spaces. We shall make use of a fixed point theorem for condensing maps due to Martelli.

Existence Results on Infinite Intervals for Neutral Functional Differential and Integrodifferential Inclusions in Banach Spaces

2000 ◽  
Vol 7 (4) ◽  
pp. 609-625 ◽  
Author(s):  
M. Benchohra ◽  
S. K. Ntouyas
Keyword(s):  
Banach Spaces ◽  
Initial Value Problems ◽  
Mild Solutions ◽  
Existence Results ◽  
Topological Spaces ◽  
Initial Value ◽  
Infinite Intervals ◽  
Functional Differential ◽  
The Fixed Point Theorem ◽  
Locally Convex

Abstract In this paper we investigate the existence of mild solutions, on infinite intervals, to initial value problems for neutral functional differential and integrodifferential inclusions in Banach spaces. We shall rely on the fixed point theorem due to Ma, which is an extension on locally convex topological spaces, of Schaefer's theorem.

A New Estimate of the Sing Method for Linear Parabolic Problems Including the Initial Point

2004 ◽  
Vol 4 (2) ◽  
pp. 163-179 ◽  
Author(s):  
Ivan Gavrilyuk ◽  
Vladimir L. Makarov ◽  
Vitaliy Vasylyk
Keyword(s):  
Hilbert Space ◽  
Banach Spaces ◽  
Initial Value Problems ◽  
Initial Point ◽  
Parabolic Problems ◽  
Initial Value ◽  
Cauchy Integrals ◽  
Sinc Quadrature

Abstract For two new effcient methods for solving initial value problems in a Hilbert or Banach spaces based on a Sinc quadrature for an improper Dunford-Cauchy integrals over a path enveloping the spectrum of the operator we give a new unified estimate in the case of a Hilbert space.

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