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-Laplacian Dynamic Equations with Integral Boundary Conditions
We are concerned with the following second-order
-Laplacian dynamic equations on time scales
...
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
We study the existence of positive solutions to the three-point integral boundary value problem
,
...
This paper deals with the existence and asymptotic behavior of the solutions to the singularly perturbed second-order nonlinear differential equations. For example, feedback control problems, such as the stead...
We are concerned with the existence and energy decay of solution to the initial boundary value problem for the coupled Klein-Gordon-Schrödinger equations with acoustic boundary conditions.
We study the solvability of a system of second-order differential equations with Dirichlet boundary conditions and non-local terms depending upon a parameter. The main tools used are a dual variational method ...
This paper deals with the existence of triple positive solutions for a type of second-order singular boundary problems with general differential operators. By using the Leggett-Williams fixed point theorem, we...
-Laplacian Operator
The existence of antiperiodic solutions for Liénard-type and Duffing-type differential equations with
-Laplacian operator has been studi...
We determine the continuous dependence of solution on the parameters in a Dirichlet-type initial-boundary value problem for the pseudoparabolic partial differential equation.
-Laplacian Differential Equations with Integral Boundary Conditions
By employing upper and lower solutions method together with maximal principle, we establish a necessary and sufficient condition for the existence of pseudo-
...
We study the existence and multiplicity of positive solutions of the following boundary-value problem:
,
...
We investigate the blow-up properties of the positive solutions to a quasilinear parabolic system with nonlocal boundary condition. We first give the criteria for finite time blowup or global existence, which ...
We are concerned with the existence of positive solutions of singular second-order boundary value problem
,
...
The problem of magnetohydrodynamic flow and heat transfer of a viscous, incompressible, and electrically conducting fluid past a semi-infinite unsteady stretching sheet is analyzed numerically. The problem was...
An exact multiplicity result of positive solutions for the boundary value problems
,
...
We present new results on the existence of multiple positive solutions of a fourth-order differential equation subject to nonlocal and nonlinear boundary conditions that models a particular stationary state of...
We present some sufficient conditions of blowup of the solutions to Laplace equations with semilinear dynamical boundary conditions of hyperbolic type.
The purpose of this article is to establish the existence of multiple positive solutions of the dynamic equation on time scales
, subjec...
This paper studies the existence, and multiplicity of positive solutions of a singular boundary value problem for second-order differential systems with impulse effects. By using the upper and lower solutions ...
We study the existence of positive solutions to the following nonlocal boundary value problem
in
...
We study the existence of positive solutions of the following fourth-order boundary value problem with integral boundary conditions,
,
The cone theory and monotone iterative technique are used to investigate the minimal nonnegative solution of nonlocal boundary value problems for second-order nonlinear impulsive differential equations on an i...
We investigate a multidimensional nonisentropic radiation hydrodynamics model. We study the local existence and the convergence of the nonisentropic radiation hydrodynamics equations via the non-relativistic l...
We discuss how homology computation can be exploited in computational electromagnetism. We represent various cellular mesh reduction techniques, which enable the computation of generators of homology spaces in...
Using a fixed point theorem of general
-concave operators, we present in this paper criteria which guarantee the existence and uniquenes...
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