Existence and approximation of solutions of second order nonlinear Neumann problems.
Existence and bifurcation results for a class of nonlinear boundary value problems in
We consider the nonlinear Dirichlet problem and develop conditions for the function such that the considered problem has a positive classical solution. Moreover, we present some results showing that is a bifurcation point in and in .
Existence and iteration of positive solutions for a singular two-point boundary value problem with a -Laplacian operator
In the paper, we obtain the existence of symmetric or monotone positive solutions and establish a corresponding iterative scheme for the equation , , where , , subject to nonlinear boundary condition. The main tool is the monotone iterative technique. Here, the coefficient may be singular at .
Existence and iteration of positive solutions for one-dimensional -Laplacian boundary value problems with dependence on the first-order derivative.
Existence and local uniqueness for nonlinear Lidstone boundary value problems.
Existence and localization of solutions for fourth-order boundary-value problems.
Existence and location result for the bending of a single elastic beam
Existence and location results for fully nonlinear boundary value problem of th-order nonlinear system.
Existence and multiple solutions for nonlinear second-order discrete problems with minimum and maximum.
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.