http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
TRIPLE SOLUTIONS FOR THREE-ORDER PERIODIC BOUNDARY VALUE PROBLEMS WITH SIGN CHANGING NONLINEARITY
Huixuan Tan,Hanying Feng,Xingfang Feng,Yatao Du 한국전산응용수학회 2014 Journal of applied mathematics & informatics Vol.32 No.1
In this paper, we consider the periodic boundary value problem with sign changing nonlinearity u′′′+ ρ³u = ∫(t,u), t∈2 [0,2π], subject to the boundary value conditions: u(i)(0) = u(i)(2π), i = 0,1,2, where ρ∈(0, 1/√3) is a positive constant and f(t,u) is a continuous function. Using Leggett-Williams fixed point theorem, we provide sufficient conditions for the existence of at least three positive solutions to the above boundary value problem. The interesting point is the nonlinear term f may change sign.
TRIPLE SOLUTIONS FOR THREE-ORDER PERIODIC BOUNDARY VALUE PROBLEMS WITH SIGN CHANGING NONLINEARITY
Tan, Huixuan,Feng, Hanying,Feng, Xingfang,Du, Yatao The Korean Society for Computational and Applied M 2014 Journal of applied mathematics & informatics Vol.32 No.1
In this paper, we consider the periodic boundary value problem with sign changing nonlinearity $$u^{{\prime}{\prime}{\prime}}+{\rho}^3u=f(t,u),\;t{\in}[0,2{\pi}]$$, subject to the boundary value conditions: $$u^{(i)}(0)=u^{(i)}(2{\pi}),\;i=0,1,2$$, where ${\rho}{\in}(o,{\frac{1}{\sqrt{3}}})$ is a positive constant and f(t, u) is a continuous function. Using Leggett-Williams fixed point theorem, we provide sufficient conditions for the existence of at least three positive solutions to the above boundary value problem. The interesting point is the nonlinear term f may change sign.