Existence and uniqueness of positive solutions for a BVP with a p-Laplacian on the half-line

Electronic Journal of Differential Equations

关键词: Multi-point boundary-value problem;    p-Laplacian;    half-line;    positive solutions;    existence;    uniqueness;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this work, we consider the second order multi-pointboundary-value problemwith a p-Laplacian$$displaylines{( ho(t)Phi_p(x'(t)))'+f(t, x(t), x'(t))=0,quad tin [0,+infty),crx(0)=sum_{i=1}^{m}alpha_i x(xi_i), quadlim_{toinfty}x(t)=0,.}$$By applying a nonlinear alternative theorem,we establish existence and uniqueness of solutions on the half-line.Also a uniqueness result for positive solutions isdiscussedwhen $f$ depends on the first-order derivative. The emphasis hereis on the one dimensional p-Laplacian operator.

【 授权许可】

Unknown