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Using the variational principle of Ricceri and a local mountain pass lemma, we study the existence of three distinct solutions for the following resonant Duffing-type equations with damping and perturbed term
By using critical point theory, Lyapunov-Schmidt reduction method, and characterization of the Brouwer degree of critical points, sufficient conditions to guarantee the existence of five or six solutions toget...
We show that the energy to the thermoelastic transmission problem decays exponentially as time goes to infinity. We also prove the existence, uniqueness, and regularity of the solution to the system.
Green's function
of the clamped boundary value problem for the differential operator
...
This paper deals with a predator-prey model with Beddington-DeAngelis functional response under homogeneous Neumann boundary conditions. We mainly discuss the following three problems: (1) stability of the non...
This paper is concerned with the structure of the weak entropy solutions to two-dimension Riemann initial-boundary value problem with curved boundary. Firstly, according to the definition of weak entropy solut...
We consider the existence, multiplicity of positive solutions for the integral boundary value problem with
-Laplacian
The boundary value problems for degenerate anisotropic differential operator equations with variable coefficients are studied. Several conditions for the separability and Fredholmness in Banach-valued
This paper investigates the eigenvalue problem for a class of singular elastic beam equations where one end is simply supported and the other end is clamped by sliding clamps. Firstly, we establish a necessary...
-Laplacian with Neumann and Robin Boundary Conditions for Both Resonance and Oscillation Problem
We discuss Neumann and Robin problems driven by the
-Laplacian with jumping nonlinearities. Using sub-sup solution method, FucÃk spectru...
This paper generalises the work done in Currie and Love (2010), where we studied the effect of applying two Crum-type transformations to a weighted second-order difference equation with various combinations of...
The Research to this article has been published in Boundary Value Problems 2012 2012:66
The method of upper and lower solutions and the Schauder fixed point theorem are used to investigate the existence and uniqueness of a positive solution to a singular boundary value problem for a class of nonl...
We study the following second-order differential equation:
, where
  (
The existence and uniqueness of a slowly oscillating solution to parabolic inverse problems for a type of boundary value problem are established. Stability of the solution is discussed.
By using variational methods, we study the multiplicity of solutions for Kirchhoff type problems
, in
...
Some new existence and uniqueness theorems of fixed points of mixed monotone operators are obtained, and then they are applied to a nonlinear singular second-order three-point boundary value problem on time sc...
-Laplacian Equation in
We study the existence and nonexistence of solutions for the singular quasilinear problem
,
...
The paper is devoted to the study of an initial boundary value problem for a linear second-order differential system with constant coefficients. The first part of the paper is concerned with the existence of t...
The paper studies the singular differential equation
, which has a singularity at
...
-Laplacian Functional Dynamic Equations on Time Scales
The authors study the boundary value problems for a
-Laplacian functional dynamic equation on a time scale,
...
Assume that
is a positive continuous function in
and satis...
-Laplacian Dynamic Equations with Integral Boundary Conditions
We are concerned with the following second-order
-Laplacian dynamic equations on time scales
...
We deal with a perturbed eigenvalue Dirichlet-type problem for an elliptic hemivariational inequality involving the
-Laplacian. We show ...
We investigate the existence of positive solutions of singular problem
,
By means of the two-scale convergence method, we investigate the asymptotic behavior of eigenvalues and eigenfunctions of Stekloff eigenvalue problems in perforated domains. We prove a concise and precise homo...
We study the initial-boundary problem of dissipative symmetric regularized long wave equations with damping term by finite difference method. A linear three-level implicit finite difference scheme is designed....
We find polynomial-type Jost solution of the self-adjoint discrete Dirac systems. Then we investigate analytical properties and asymptotic behaviour of the Jost solution. Using the Weyl compact perturbation th...
In the present paper, we consider a nonself-adjoint fourth-order differential operator with the periodic boundary conditions. We compute new accurate asymptotic expression of the fundamental solutions of the g...
This paper is devoted to study the existence of periodic solutions of the second-order equation
, where
...
We investigate a second-order discrete problem with two additional conditions which are described by a pair of linearly independent linear functionals. We have found the solution to this problem and presented ...
We study the existence of
distinct pairs of nontrivial solutions for impulsive differential equations with Dirichlet boundary condition...
The Trojan Y Chromosome strategy (TYC) is a theoretical method for eradication of invasive species. It requires constant introduction of artificial individuals into a target population, causing a shift in the ...
This paper is concerned with the following third-order boundary value problem with integral boundary conditions
...
-Laplacian with Weights in
Balls
For one-dimensional
-Laplacian with weights in
balls, we ar...
We give sufficient conditions, being also necessary in many cases, for the existence of a periodic free boundary generated as the boundary of the support of the periodic solution of a general class of nonlinea...
This paper deals with the existence of solutions for the following differential equation:
,
...
We study the existence and multiplicity of positive solutions for the following Dirichlet equations:
in
...
A new conservative finite difference scheme is presented for an initial-boundary value problem of the general Rosenau-RLW equation. Existence of its difference solutions are proved by Brouwer fixed point theor...
This paper investigates the exponential-type stability of linear neutral delay differential systems with constant coefficients using Lyapunov-Krasovskii type functionals, more general than those reported in th...
The present paper concerns the Sobolev embedding in the endpoint case. It is known that the embedding
fails for
...
This paper investigates the second-order multipoint boundary value problem on the half-line
,
...
The nonlinear alternative of the Leray Schauder type and the Banach contraction principle are used to investigate the existence of solutions for second-order differential equations with integral boundary condi...
-Point Nonlocal Boundary Value Problems via the Method of Generalized Quasilinearization
We discuss the existence and uniqueness of the solutions of a second-order
-point nonlocal boundary value problem by applying a generali...
The classical von Kármán equations governing the boundary layer flow induced by a rotating disk are solved using the spectral homotopy analysis method and a novel successive linearisation method. The methods c...
We establish existence results of the following three-point boundary value problems:
,
...
We consider the nonlinear eigenvalue problems
,
,
We prove the existence of a solution to the periodic nonlinear second-order ordinary differential equation with damping
,
We investigate the existence of multiple nontrivial solutions
for perturbations
...
This paper deals with the existence of
-quasi-solutions for impulsive periodic boundary value problems in an ordered Banach space
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