Existence and concentration of positive solutions for a quasilinear elliptic equation in .
Existence and controllability of fractional-order impulsive stochastic system with infinite delay
This paper is concerned with the existence and approximate controllability for impulsive fractional-order stochastic infinite delay integro-differential equations in Hilbert space. By using Krasnoselskii's fixed point theorem with stochastic analysis theory, we derive a new set of sufficient conditions for the approximate controllability of impulsive fractional stochastic system under the assumption that the corresponding linear system is approximately controllable. Finally, an example is provided...
Existence and data dependence for multivalued weakly Ćirić-contractive operators.
Existence and data dependence of fixed points and strict fixed points for contractive-type multivalued operators.
Existence and density results for retarded subdifferential evolution inclusions
In this paper we study Cauchy problems for retarded evolution inclusions, where the Fréchet subdifferential of a function F:Ω→R∪{+∞} (Ω is an open subset of a real separable Hilbert space) having a φ-monotone subdifferential of oder two is present. First we establish the existence of extremal trajectories and we show that the set of these trajectories is dense in the solution set of the original convex problem for the norm topology of the Banach space C([-r, T₀], Ω) ("strong relaxation theorem")....
Existence and global attractivity of positive periodic solutions for a delayed competitive system with the effect of toxic substances and impulses
In this paper, a class of non-autonomous delayed competitive systems with the effect of toxic substances and impulses is considered. By using the continuation theorem of coincidence degree theory, we derive a set of easily verifiable sufficient conditions that guarantees the existence of at least one positive periodic solution, and by constructing a suitable Lyapunov functional, the uniqueness and global attractivity of the positive periodic solution are established.
Existence and global exponential stability of almost periodic solutions for SICNNs with nonlinear behaved functions and mixed delays.
Existence and global exponential stability of periodic solutions for general neural networks with time-varying delays.
Existence and L∞ estimates of some Mountain-Pass type solutions
We prove the existence of a positive solution to the BVP imposing some conditions on Φ and f. In particular, we assume to be decreasing in t. Our method combines variational and topological arguments and can be applied to some elliptic problems in annular domains. An bound for the solution is provided by the norm of any test function with negative energy.
Existence and limiting behaviour for damped nonlinear evolution equations with nonlocal terms
Existence and Lyapunov stability of periodic solutions for generalized higher-order neutral differential equations.
Existence and multiplicity of nontrivial solutions for double resonance semilinear elliptic problems.
Existence and multiplicity of positive solutions existence and multiplicity of positive solutions time scales.
Existence and multiplicity of positive solutions for Dirichlet problems in unbounded domains.
Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations.
Existence and multiplicity results for nonlinear noncoercive equations
Existence and multiplicity results for nonlinear second order difference equations with Dirichlet boundary conditions
We use Brouwer degree to prove existence and multiplicity results for the solutions of some nonlinear second order difference equations with Dirichlet boundary conditions. We obtain in particular upper and lower solutions theorems, Ambrosetti-Prodi type results, and sharp existence conditions for nonlinearities which are bounded from below or from above.
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.