Positive and dead core solutions of singular Dirichlet boundary value problems with phi-Laplacian

Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with -Laplacian

Positive solution for Dirichlet‎ ‎$‎‎p(t)‎$‎-Laplacian BVPs

In this paper we provide‎ ‎existence results for positive solution to‎ ‎Dirichlet p(t)-Laplacian boundary value problems‎. ‎The sublinear and‎ ‎superlinear cases are considerd‎.

Positive solutions for nonlinear systems of third-order generalized sturm-liouville boundary value problems with $(p_1,p_2,ldots,p_n)$-laplacian

In this work, byemploying the Leggett-Williams fixed point theorem, we study theexistence of at least three positive solutions of boundary valueproblems for system of third-order ordinary differential equationswith $(p_1,p_2,ldots,p_n)$-Laplacianbegin{eqnarray*}left { begin{array}{ll} (phi_{p_i}(u_i''(t)))'  +  a_i(t) f_i(t,u_1(t), u_2(t), ldots, u_n(t)) =0 hspace{1cm} 0  leq t leq 1, alpha_i u...

Analysis and numerical simulation of positive and dead-core solutions of singular two-point boundary value problems

We investigate the solvability of the Dirichlet boundary value problem u′′(t) = λg(u(t)), λ ≥ 0, u(0) = 1, u(1) = 1, where λ is a nonnegative parameter. We discuss the existence of multiple positive solutions and show that for certain values of λ, there also exist solutions that vanish on a subinterval [ρ, 1 − ρ] ⊂ (0, 1), the so-called dead core solutions. In order to illustrate the theoretica...

Existence of positive solutions for a second-order p-Laplacian impulsive boundary value problem on time scales

In this paper, we investigate the existence of positive solutions for a second-order multipoint p-Laplacian impulsive boundary value problem on time scales. Using a new fixed point theorem in a cone, sufficient conditions for the existence of at least three positive solutions are established. An illustrative example is also presented.