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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...
We consider the Green's functions and the existence of positive solutions for a second-order functional difference equation with four-point boundary conditions.
We investigate the following fourth-order four-point nonhomogeneous Sturm-Liouville boundary value problem:
,
...
The aim of this paper is to point out recent and classical results related with the existence of solutions of second-order problems coupled with nonlinear boundary value conditions.
We study the generalized Keldys-Fichera boundary value problem for a class of higher order equations with nonnegative characteristic. By using the acute angle principle and the Hölder inequalities and Young in...
we devote to investigate the quenching phenomenon for a reaction-diffusion system with coupled singular absorption terms,
,
This paper investigates the existence and multiplicity of positive solutions for a class of higher-order nonlinear fractional differential equations with integral boundary conditions. The results are establish...
Existence and Lyapunov stability of periodic solutions for a generalized higher-order neutral differential equation are established.
Our aim is the study of a class of nonlinear elliptic problems under Neumann conditions involving the
-Laplacian. We prove the existence...
We study parabolic differential equations with a discontinuous nonlinearity and subjected to a nonlocal initial condition. We are concerned with the existence of solutions in the weak sense. Our technique is b...
We consider the initial-boundary value problem for a nonlinear partial differential equation with module-fractional derivative on a half-line. We study the local and global in time existence of solutions to th...
-Laplacian
By using the fixed point theory for completely continuous operator, this paper investigates the existence of positive solutions for a class of fourth-order impulsive boundary value problems with integral bound...
The jump problem and problems with defects on the type change line for model mixed-type equations in the mixed domains are investigated. The explicit solutions of the jump problem are obtained by the method of...
We consider the Cauchy problem for nonstationary 1D flow of a compressible viscous and heat-conducting micropolar fluid, assuming that it is in the thermodynamical sense perfect and polytropic. This problem ha...
The block-grid method (see Dosiyev, 2004) for the solution of the Dirichlet problem on polygons, when a boundary function on each side of the boundary is given from
...
We study the positive solutions to boundary value problems of the form
;
,
An inverse scattering problem is considered for a discontinuous Sturm-Liouville equation on the half-line
with a linear spectral parame...
th Order Multipoint Boundary Value Problem
We study the existence of multiple positive solutions for
th-order multipoint boundary value problem.
...
We show the global regularity estimates for the following parabolic polyharmonic equation
in
...
We consider the Cauchy problem for a modified Helmholtz equation, where the Cauchy data is given at
and the solution is sought in the i...
th-Order Nonlinear Impulsive Differential Equation with Nonlocal Boundary Conditions
This paper is devoted to study the existence, nonexistence, and multiplicity of positive solutions for the
th-order nonlocal boundary va...
We consider the fourth-order two-point boundary value problem
,
The existence of multiple solutions for a class of fourth elliptic equation with respect to the resonance and nonresonance conditions is established by using the minimax method and Morse theory.
We consider Hölder continuous circulant (
) matrix functions
defined on the ...
We study a cubic predator-prey system with stage structure for the prey. This system is a generalization of the two-species Lotka-Volterra predator-prey model. Firstly, we consider the asymptotical stability o...
Given a periodic, integrable potential
, we will study conditions on
We applied the variational iteration method and the homotopy perturbation method to solve Sturm-Liouville eigenvalue and boundary value problems. The main advantage of these methods is the flexibility to give ...
We used what we called extended Fan's sub-equation method and a new compound Riccati equations rational expansion method to construct the exact travelling wave solutions of the Davey-Stewartson (DS) equations....
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