충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제23권3호
  • /
  • Pages.443-452
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  • 2010
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
권호 표지
DOI QR코드

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SOLVABILITY OF A THIRD ORDER NONLINEAR NEUTRAL DELAY DIFFERENTIAL EQUATION

  • Liu, Zeqing (Department of Mathematics Liaoning Normal University) ;
  • Wang, Wei (Department of Mathematics Liaoning Normal University) ;
  • Park, Jong Seo (Department of Mathematics Education Chinju National University of Education) ;
  • Kang, Shin Min (Department of Mathematics and RINS Gyeongsang National University)
  • 투고 : 2010.03.18
  • 심사 : 2010.06.01
  • 발행 : 2010.09.30
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초록

This work deals with the existence of uncountably many bounded positive solutions for the third order nonlinear neutral delay differential equation $$\frac{d^3}{dt^3}[x(t)+p(t)x(t-{\tau})]+f(t,x(t-{{\tau}_1}),{\ldots},x(t-{{\tau}_k}))=0,\;t{\geq}t_0$$ where ${\tau}>0$, ${\tau}_i{\in}{\mathbb{R}^+}$ for $i{\in}\{1,2,{\ldots},k\}$, $p{\in}C([t_0,+{\infty}),{\mathbb{R}^+})$ and $f{\in}C([t_0,+{\infty}){\times}{\mathbb{R}^k},{\mathbb{R}})$.

키워드

과제정보

연구 과제 주관 기관 : Natural Science Foundation of Liaoning Province

참고문헌

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