Korean Journal of Mathematics

  • 제17권4호
  • /
  • Pages.495-505
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  • 2009
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  • 1976-8605(pISSN)
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  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
권호 표지

EXISTENCE OF NONNEGATIVE SOLUTIONS FOR BOUNDARY VALUE PROBLEMS

  • 투고 : 2008.10.20
  • 발행 : 2009.12.30
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초록

By means of Green function and fixed point theorem related with cone theoretic method we show that there exist multiple nonnegative solutions of a Dirichlet problem $$\array{-[p(t)x^{\prime}(t)]^{\prime}={\lambda}q(t)f(x(t)),\;t{\in}I=[0,\;T]\\x(0)=0=x(T)}$$, and a mixed problem $$\array{-[p(t)x^{\prime}(t)]^{\prime}={\mu}q(t)f(x(t)),\;t{\in}I=[0,\;T]\\x^{\prime}(0)=0=x(T)}$$, where ${\lambda}$ and ${\mu}$ are positive parameters.

키워드

과제정보

연구 과제 주관 기관 : Hallym University

참고문헌

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