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Attractivity results for a nonlinear functional integral equation
-
Ravi P. Agarwal
,
Józef Banaś
Published/Copyright:
April 6, 2011
Abstract
In this paper two existence results concerning the global attractivity and global asymptotic attractivity for a certain functional nonlinear integral equation are proved. Our existence results include several existence and attractivity results obtained earlier by Darwish and Hu–Yan as special cases under weaker conditions. A fixed point theorem of Dhage is used in formulating our main results and the characterizations of solutions are obtained in the space of functions defined, continuous and bounded on unbounded intervals.
Keywords.: Measure of noncompactness; fixed point theorem; functional integral equation; global attractivity; Global asymptotic attractivity; existence theorem
Received: 2010-03-12
Published Online: 2011-04-06
Published in Print: 2011-March
© de Gruyter 2011
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Keywords for this article
Measure of noncompactness;
fixed point theorem;
functional integral equation;
global attractivity;
Global asymptotic attractivity;
existence theorem
Articles in the same Issue
- Attractivity results for a nonlinear functional integral equation
- A biregular extension theorem from a fractal surface in
- Exceptional functions and normal families of holomorphic functions with multiple zeros
- A note on the existence of three positive periodic solutions of functional difference equation
- Necessary and sufficient optimality conditions for set-valued optimization problems
- A weak type inequality for the two-dimensional diagonal Sunouchi operator on the Hardy space
- Screen slant lightlike submanifolds of indefinite cosymplectic manifolds
- Electromagnetic scattering by cylindrical orthotropic waveguide irises
- On fusion frames in Banach spaces
- A note on Muckenhoupt type weight classes on nondoubling measure spaces
- (σ, τ)-amenability of C*-algebras
- Approximation by Nörlund means of Walsh–Kaczmarz–Fourier series
- A priori estimates of solutions of boundary value problems for two-dimensional systems of singular differential inequalities
- Function classes and convergence almost everywhere
- On the equivalence of a strong symmetrical and a strong complete differentiation basis
