Existence and multiplicity results for singular -Laplacian BVPs on the positive half-line.
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 nonexistence results for second-order Neumann boundary value problem.
Existence and positivity of solutions for a nonlinear periodic differential equation
We study the existence and positivity of solutions of a highly nonlinear periodic differential equation. In the process we convert the differential equation into an equivalent integral equation after which appropriate mappings are constructed. We then employ a modification of Krasnoselskii’s fixed point theorem introduced by T. A. Burton ([4], Theorem 3) to show the existence and positivity of solutions of the equation.
Existence and sharp asymptotic behavior of positive decreasing solutions of a class [4pt] of differential systems with power-type nonlinearities
The system of nonlinear differential equations is under consideration, where and are positive constants and and are positive continuous functions on . There are three types of different asymptotic behavior at infinity of positive solutions of (). The aim of this paper is to establish criteria for the existence of solutions of these three types by means of fixed point techniques. Special emphasis is placed on those solutions with both components decreasing to zero as , which can be...
Existence and stability of antiperiodic solution for a class of generalized neural networks with impulses and arbitrary delays on time scales.
Existence and uniqueness of periodic solution for nonlinear second-order ordinary differential equations.
Existence and uniqueness of periodic solutions for a class of nonlinear equations with -Laplacian-like operators.
Existence and uniqueness of periodic solutions for a second-order nonlinear differential equation with piecewise constant argument.
Existence and uniqueness of positive and nondecreasing solutions for a class of singular fractional boundary value problems.
Existence and uniqueness of positive solution for a singular nonlinear second-order -point boundary value problem.
Existence and uniqueness of positive solutions for a third-order three-point problem on time scales.
Existence and uniqueness of positive solutions for Neumann problems of second order impulsive differential equations.
Existence and uniqueness of solutions for a second-order delay differential equation boundary value problem on the half-line.
Existence and uniqueness of solutions for coupled systems of higher-order nonlinear fractional differential equations.
Existence and uniqueness of solutions for higher-order three-point boundary value problems.
Existence and uniqueness results for perturbed Neumann boundary value problems.
Existence and uniqueness theorems on certain difference-differential equations.
Existence criteria for singular boundary value problems with -Laplacian operators.
Existence of positive periodic solutions to -species nonautonomous food chains with harvesting terms.