Existence and multiplicity of positive solutions for Neumann boundary value problem of one-dimensional p-Laplacian equation
The existence of multiple positive solutions of a steady-state reaction diffusion equation Neumann boundary value problem{(| u'(t)| p-2u'(t))'+λ(au-bu2-c)=0,0＜t＜1, u'(0)=u'(1)=0 derived from population problems is considered bythe time-map analysis method(1/λ＞0 is the dif-fusion coefficient.1＜p≤ 2,a＞0,b＞0,c＞0).Furthermore,the existence of multiple positive solutions and the exact number of solutions for the above problem are proved when the values of a,b,c,1/λare determined.The obtained results generalize and improve the relevant results of existing literatures.
population modeltime-map analysis methodpositive solutionmultiplicity
NETL
NSTL
万方数据
