We study the existence of multiple positive solutions for a Neumann problem with singular φ-Laplacian{-(φ(u′))′= λf(u), x ∈(0, 1),u′(0) = 0 = u′(1),where λ is a positive parameter, φ(s) =s/(1-s;...
In this paper, by means of constructing a special cone, we obtain a sufficient condition for the existence of positive solution to semipositone fractional differential equation.
We study the existence of positive solutions of a population model with diffusion of the form {-△pu=aup-1-f(u)-c/ua,x∈Ω,u=0,x∈Ω where △p denotes the p-Laplacian operator defined by △pz =div(|z|P-2z), p 〉...
The existence of positive solution is proved for a (k, n - k) conjugate boundary value problem in which the nonlinearity may make negative values and may be singular with respect to the time variable. The main resul...
The NSF (11201109) of China;the NSF (10040606Q50) of Anhui Province;Excellent Talents Foundation (2012SQRL165) of University of Anhui Province;the NSF (2012kj09) of Heifei Normal University
In this paper, we investigate the existence of positive solutions of a class higher order boundary value problems on time scales. The class of boundary value problems educes a four-point (or three-point or two-point...
In this paper, we study a nonlinear semipositone Neumann boundary value problem. Under some suitable conditions, we prove the existence and multiplicity of positive solutions to the problem, based on Krasnosel’skii’...
Supported by National Natural Science Foundation of China (10626029; 10701040; 60964005; 11161022);Natural Science Foundation of Jiangxi Province (2009GQS0007);Educational Department of Jiangxi Province (JJ0946; GJJ11420)
The existence of positive solutions to a singular sublinear semipositone Neumann boundary value problem is considered. In this paper,the nonlinearity term is not necessary to be bounded from below and the function q(t...
Supported by the National Natural Science Foundation of China (Grant No.10871059)
The positive solutions are studied for the nonlinear third-order three-point boundary value problem u′″(t)=f(t,u(t)),a.e,t∈[0,1],u(0)=u′(η)=u″(1)=0, where the nonlinear term f(t, u) is a Caratheodo...