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<p>In this paper, we introduce the notion of <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\mu \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>μ</mi> </math></EquationSource> </InlineEquation>-pseudo S-asymptotically <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\textrm{C}^{(n)}-(\omega ,c)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mtext>C</mtext> <mrow> <mo stretchy="false">(</mo> <mi>n</mi> <mo stretchy="false">)</mo> </mrow> </msup> <mo>-</mo> <mrow> <mo stretchy="false">(</mo> <mi>ω</mi> <mo>,</mo> <mi>c</mi> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation>-periodic functions and establish some of their key properties. We then apply these results to show the existence of such solutions for a class of semilinear integro-differential equations.</p>

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Study of pseudo S-asymptotically \(\textrm{C}^{(n)}-(\omega , c)\)-periodic functions

  • 期刊论文

  • 发表日期：

    2026年1月19日

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  • Youssef Khemili

摘要

In this paper, we introduce the notion of \(\mu \) μ -pseudo S-asymptotically \(\textrm{C}^{(n)}-(\omega ,c)\) C ( n ) - ( ω , c ) -periodic functions and establish some of their key properties. We then apply these results to show the existence of such solutions for a class of semilinear integro-differential equations.