Copy For Citation
ÇAKAN Ü., OZDEMIR I.
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, vol.53, no.2, pp.256-288, 2016 (SCI-Expanded)
-
Publication Type:
Article / Article
-
Volume:
53
Issue:
2
-
Publication Date:
2016
-
Doi Number:
10.1556/012.2016.53.2.1332
-
Journal Name:
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
-
Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
-
Page Numbers:
pp.256-288
-
Keywords:
Nonlinear integral equations, measure of noncompactness, asymptotic stability, Darbo fixed-point theorem, Riemann-Liouville fractional integral, NONDECREASING SOLUTIONS, MONOTONIC SOLUTIONS, LOCAL ATTRACTIVITY, VOLTERRA TYPE, ABEL TYPE, EXISTENCE, NONCOMPACTNESS, BEHAVIOR, SOLVABILITY
-
Inonu University Affiliated:
Yes
Abstract
In this paper, using a Darbo type fixed point theorem associated with the measure of noncompactness we prove a theorem on the existence of asymptotically stable solutions of some nonlinear functional integral equations in the space of continuous and bounded functions on R+ = [ 0,infinity). We also give some examples satisfying the conditions our existence theorem.