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<p>In this paper, we prove the existence and local attractivity results for a nonlinear functional integral equation. The equation is considered in the Banach space of real valued functions that are continuous and bounded on <InlineEquation ID="IEq1"><EquationSource Format="MATHML"><math><msub><mi mathvariant="double-struck">R</mi><mo>+</mo></msub></math></EquationSource><EquationSource Format="TEX">$\mathbb{R}_{+}$</EquationSource></InlineEquation>. In our considerations, we apply the measure of noncompactness and the Darbo fixed point theorem. The equation we consider is more general in form and the conditions are less stringent than some existing results.</p>

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Existence and local attractivity results for a nonlinear functional integral equation

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  • 发表日期：

    2026年6月30日

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  • Feng Zhang

摘要

In this paper, we prove the existence and local attractivity results for a nonlinear functional integral equation. The equation is considered in the Banach space of real valued functions that are continuous and bounded on R+$\mathbb{R}_{+}$. In our considerations, we apply the measure of noncompactness and the Darbo fixed point theorem. The equation we consider is more general in form and the conditions are less stringent than some existing results.