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<p>In the present paper we investigate the existence of solutions for an ecological generalized model with <i>r</i>-Kirchhoff problem via the method of sub-supersolutions in <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\zeta \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ζ</mi> </math></EquationSource> </InlineEquation>-generalized space <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\mathcal {H}^{\alpha , \eta ;\zeta }_{r}(\Lambda )\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msubsup> <mrow> <mi mathvariant="script">H</mi> </mrow> <mi>r</mi> <mrow> <mi>α</mi> <mo>,</mo> <mi>η</mi> <mo>;</mo> <mi>ζ</mi> </mrow> </msubsup> <mrow> <mo stretchy="false">(</mo> <mi mathvariant="normal">Λ</mi> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation>. We also discuss some special cases.</p>

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An ecological generalized model with r-Kirchhoff-type problem

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月15日

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  • J. Vanterler da C. Sousa,
  • Junior C. A. Soares,
  • Felix S. Costa

摘要

In the present paper we investigate the existence of solutions for an ecological generalized model with r-Kirchhoff problem via the method of sub-supersolutions in \(\zeta \) ζ -generalized space \(\mathcal {H}^{\alpha , \eta ;\zeta }_{r}(\Lambda )\) H r α , η ; ζ ( Λ ) . We also discuss some special cases.