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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....
A computational model is developed to analyze the unsteady flow of blood through stenosed tapered narrow arteries, treating blood as a two-fluid model with the suspension of all the erythrocytes in the core re...
We investigate the existence of periodic solutions of linear Hamiltonian systems with a nonlinear perturbation. Under generalized Ahmad-Lazer-Paul type coercive conditions for the nonlinearity on the kernel of...
-Point Boundary Value Problem
The existence and uniqueness of positive solution is obtained for the singular second-order
-point boundary value problem
Monogenic extension theorem of complex Clifford algebras-valued functions over a bounded domain with fractal boundary is obtained. The paper is dealing with the class of Hölder continuous functions. Applicatio...
This paper uses a fixed point theorem in cones to investigate the multiple positive solutions of a boundary value problem for second-order impulsive singular differential equations on the half-line. The condit...
An infinite plane problem with a circular boundary under the screw dislocation is solved by using a new method. The angle-based fundamental solution for screw dislocation is expanded into degenerate kernel. Ou...
-Laplacian Problem with Singular Term
We study the following
-Laplacian problem with singular term:
We initiate the investigation of a stochastic system of evolution partial differential equations modelling the turbulent flows of a second grade fluid filling a bounded domain of ...
We use a fixed point theorem in a cone to obtain the existence of positive solutions of the differential equation,
,
We consider the following class of quasilinear elliptic equations
,
Numerical solutions for generalized Rosenau equation are considered and two energy conservative finite difference schemes are proposed. Existence of the solutions for the difference scheme has been shown. Stab...
We establish the existence of a nontrivial solution for systems with an arbitrary number of coupled Poisson equations with critical growth in punctured unbounded domains. The proof depends on a generalized lin...
-Harmonic Functions on Canonical Domains
We study stagnation zones of
-harmonic functions on canonical domains in the Euclidean
We prove the existence and uniqueness of strong solution to the stochastic Leray-
equations under appropriate conditions on the data. Th...
We are concerned with general third-order nonlinear boundary value problems. An existence theorem of solution is given under weaker conditions. In the meantime, an iterative algorithm with global convergence i...
-Laplacian
Equation with general nonhomogeneous
-Laplacian, including classical and singular
We study the following reaction-diffusion system with a cross-diffusion matrix and fractional derivatives
in
...
We show some inequalities for generalized fractional integral operators on generalized Morrey spaces. We also show the boundedness property of the generalized fractional integral operators on the predual of th...
The goal of this paper is to establish the regularity of the solution of the first initial-boundary value problem for general higher-order hyperbolic equations in cylinders with the bases containing cuspidal p...
-
-Laplacian Type Equation with Potentials Eigenvalue Problem in
The nonlinear elliptic eigenvalue problem
, where
A Holling type III predator-prey model with self- and cross-population pressure is considered. Using the energy estimate and Gagliardo-Nirenberg-type inequalities, the existence and uniform boundedness of glob...
-Point BVP for an Increasing Homeomorphism and Homomorphism on Time Scales
By using fixed point theorems in cones, the existence of multiple positive solutions is considered for nonlinear
-point boundary value p...
-Point Boundary Value Problems
This paper investigates the existence and uniqueness of smooth positive solutions to a class of singular m-point boundary value problems of second-order ordinary differential equations. A necessary and sufficient...
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