Existence and multiplicity of positive solutions existence and multiplicity of positive solutions time scales.
Existence and multiplicity of positive solutions of a boundary-value problem for sixth-order ODE with three parameters.
Existence and multiplicity of solutions for a periodic Hill's equation with parametric dependence and singularities.
Existence and multiplicity of solutions for discrete nonlinear two-point boundary value problems.
Existence and multiplicity of solutions to discrete conjugate boundary value problems.
Existence and multiplicity results for singular -Laplacian BVPs on the positive half-line.
Existence and nonexistence of positive solutions to a right-focal boundary value problem on time scales.
Existence and nonexistence of radial positive solutions of superlinear elliptic systems.
The main goal in this paper is to prove the existence of radial positive solutions of the quasilinear elliptic system⎧ -Δpu = f(x,u,v) in Ω,⎨ -Δqv = g(x,u,v) in Ω,⎩ u = v = 0 on ∂Ω,where Ω is a ball in RN and f, g are positive continuous functions satisfying f(x, 0, 0) = g(x, 0, 0) = 0 and some growth conditions which correspond, roughly speaking, to superlinear problems. Two different sets of conditions, called strongly and weakly coupled, are given in order to obtain existence. We use...
Existence and non-existence of sign-changing solutions for a class of two-point boundary value problems involving one-dimensional -Laplacian
We consider the boundary value problem involving the one dimensional -Laplacian, and establish the precise intervals of the parameter for the existence and non-existence of solutions with prescribed numbers of zeros. Our argument is based on the shooting method together with the qualitative theory for half-linear differential equations.
Existence and stability of solutions for semilinear Dirichlet problems
We provide existence and stability results for semilinear Dirichlet problems with nonlinearities satisfying some general local growth conditions. We derive a general abstract result which we then apply to prove the existence of solutions, their stability and continuous dependence on parameters for a sixth order ODE with Dirichlet type boundary data.
Existence and uniqueness for the predator-prey model with diffusion in the scalar case.
We solve the problem of the existence and uniqueness of coexistence states for the classical predator-prey model of Lotka-Volterra with diffusion in the scalar case.
Existence and uniqueness of a positive solution for a third-order three-point boundary-value problem.
Existence and uniqueness of nontrivial solutions for nonlinear higher-order three-point eigenvalue problems on time scales.
Existence and uniqueness of positive and nondecreasing solutions for a class of singular fractional boundary value problems.
Existence and uniqueness of solution for fractional differential equations with integral boundary conditions.
Existence and uniqueness of solutions for fourth-order boundary-value problems in Banach spaces.
Existence and uniqueness of solutions of four-point boundary value problems for 2nd order differential equations
Existence and uniqueness of solutions of higher-order antiperiodic dynamic equations.
Existence and uniqueness of solutions to a super-linear three-point boundary-value problem.
Existence and uniqueness results for perturbed Neumann boundary value problems.