On the Existence and Uniform Attractivity of the Solutions of a Class of Nonlinear Integral Equations on Unbounded Interval

Özdemır, İlknur; İlhan, Bekir

doi:10.11650/tjm/7810

Cited by 3 publications

(1 citation statement)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Olszowy [29] investigated the conditions on the existence of solutions of the equation: İlhan and Özdemir [20,32] examined the nonlinear integral equation of the form:…”

Section: İsmet öZdem İrmentioning

confidence: 99%

Asymptotically stable solutions of a nonlinear integral equation

Özdemi̇r¹

2021

Methods of Functional Analysis and Topology

View full text Add to dashboard Cite

The purpose of this paper is to study the existence and asymptotical stability of solutions of some functional integral equations which include a number of classical nonlinear integral equations as special cases. Our investigations will be carried out in the space of continuous and bounded functions on an unbounded interval. We use the technique associated with the measure of noncompactness and a suitable fixed point theorem of Darbo type. The applicability of the results is illustrated by examples showing the difference between our main result and some previous results.Метою цiєї статтi є дослiдження iснування та асимптотичної стiйкостi розв'язкiв iнтегрально функцiональних рiвнянь, спецiальними випадками яких є низка класичних нелiнiйних iнтегральних рiвнянь. Нашi дослiдження ведуться в просторах обмежених неперервних функцiй на нескiнченному iнтервалi. Використовується технiка мiр некомпактностi та теореми про нерухому точку типу Дарбо. Результати iлюструються прикладами, що вказують на вiдмiнностi з деякими попереднiми результатами.

show abstract

“…Olszowy [29] investigated the conditions on the existence of solutions of the equation: İlhan and Özdemir [20,32] examined the nonlinear integral equation of the form:…”

Section: İsmet öZdem İrmentioning

confidence: 99%