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Consider the scattering of an electromagnetic time-harmonic plane wave by an infinite cylinder having an open crack
and a bounded domai...
This paper deals with the properties of positive solutions to a semilinear parabolic system with nonlocal boundary condition. We first give the criteria for finite time blowup or global existence, which shows ...
A singular Cauchy-Nicoletti problem for a system of nonlinear ordinary differential equations is considered. With the aid of combination of Ważewski's topological method and Schauder's principle, the theorem c...
A new fixed point theorem in a cone is applied to obtain the existence of positive solutions of some fourth-order beam equation boundary value problems with dependence on the first-order derivative
th-Order Three-Point Boundary Value Problems
We consider the existence of countably many positive solutions for nonlinear
th-order three-point boundary value problem
This paper studies the eigenvalue interval for the singular boundary value problem
, where
...
This paper investigates the singular differential equation
, having a singularity at
...
We establish new results concerning existence and asymptotic behavior of entire, positive, and bounded solutions which converge to zero at infinite for the quasilinear equation ...
The initial boundary value problem for a nonlinear hyperbolic equation with Lewis function in a bounded domain is considered. In this work, the main result is that the solution blows up in finite time if the i...
We study the existence and multiplicity of classical solutions for second-order impulsive Sturm-Liouville equation with Neumann boundary conditions. By using the variational method and critical point theory, w...
We are concerned with the following nonlinear second-order three-point boundary value problem on time scales
,
...
Sufficient coefficient conditions for the correct and unique solvability of the boundary-value problem for one class of operator-differential equations of the fourth order with complex characteristics, which c...
This paper deals with a Holling type III diffusive predator-prey model with stage structure and nonlinear density restriction in the space
. We ...
Using Mountain Pass Lemma, we obtain the existence of nontrivial weak solutions for a class of superlinear and nonhomogeneous quasilinear equations. The key factor in this paper is to use the new idea of near ...
By employing the contraction mapping principle and applying Gronwall-Bellman's inequality, sufficient conditions are established to prove the existence and exponential stability of positive almost periodic sol...
-Laplacian Operator and an Application in Image Processing
We focus in this paper on the theoretical and numerical aspect os image processing. We consider a non linear boundary value problem (the
We investigate the existence of weak solutions to the following Dirichlet boundary value problem, which occurs when modeling an injection molding process with a partial slip condition on the boundary. We have
for
-Laplacian Parabolic Equation in
We study the long-time behavior of solution for the
-Laplacian equation
The existence of a step-like contrast structure for a class of high-dimensional singularly perturbed system is shown by a smooth connection method based on the existence of a first integral for an associated s...
We present an existence result for fourth-order four-point boundary value problem on time scales. Our analysis is based on a fixed point theorem due to Krasnoselskii and Zabreiko.
We are concerned with the higher-order nonlinear three-point boundary value problems:
...
Perturbation Term
This paper deals with a two-point boundary value problem of a class of Duffing-type systems with non-
perturbation term. Several existen...
We proved a multiplicity result for strongly indefinite semilinear elliptic systems
in
...
-Pseudo Almost Automorphic Coefficients
We obtain the existence of pseudo almost automorphic solutions to the
-dimensional heat equation with
...
We are concerned with singular three-point boundary value problems for delay higher-order dynamic equations on time scales. Theorems on the existence of positive solutions are obtained by utilizing the fixed p...
th-Order Fuzzy Differential Equations under Generalized Differentiability
We firstly present a generalized concept of higher-order differentiability for fuzzy functions. Then we interpret
th-order fuzzy differe...
We estimate the spectral gap of the two-dimensional stochastic Ising model for four classes of mixed boundary conditions. On a finite square, in the absence of an external field, two-sided estimates on the spe...
We establish the existence and uniqueness of a positive and nondecreasing solution to a singular boundary value problem of a class of nonlinear fractional differential equation. Our analysis relies on a fixed ...
The cone theory together with Mönch fixed point theorem and a monotone iterative technique is used to investigate the positive solutions for some boundary problems for systems of nonlinear second-order differe...
We generalize the comparison result 2007 on Hamilton-Jacobi equations to nonlinear parabolic equations, then by using Perron's method to study the existence and uniqueness of time almost periodic viscosity sol...
We fill a gap in the
theory of elliptic systems on bounded domains, by proving the
...
We study the existence of solutions for a class of fractional differential equations. Due to the singularity of the possible solutions, we introduce a new and proper concept of periodic boundary value conditio...
The main goal of this paper is to obtain the regularity of weak solutions of Cauchy-Neumann problems for the second-order general Schrödinger equations in domains with conical points on the boundary of the bases.
A viral infection model with a nonlinear infection rate is constructed based on empirical evidences. Qualitative analysis shows that there is a degenerate singular infection equilibrium. Furthermore, bifurcati...
We discuss the properties of the differential equation
, a.e. on
We present some new nonlinear integral inequalities Bellman-Bihari type with delay for discontinuous functions (integro-sum inequalities; impulse integral inequalities). Some applications of the results are in...
We study antiperiodic boundary value problems for semilinear differential and impulsive differential equations in finite dimensional spaces. Several new existence results are obtained.
The aim of this paper is to investigate a class of boundary value problem for fractional differential equations involving nonlinear integral conditions. The main tool used in our considerations is the techniqu...
Existence of positive solutions for a coupled system of nonlinear three-point boundary value problems of the type
,
...
We investigate the scattering of plane harmonic compression and shear waves by a Griffith crack in an infinite isotropic dielectric polymer. The dielectric polymer is permeated by a uniform electric field norm...
We will use the concept of renormalized solution to initial boundary value problems with equivalued surface for nonlinear parabolic equations, discuss the existence and uniqueness of renormalized solution, and...
We consider a similinear elliptic equation with sign-changing potential
,
We consider the existence of multiple solutions of the elliptic equation on
with concave and convex nonlinearities.
Reaction-Diffusion System with Cross-Diffusion Matrix
We prove the interior approximate controllability for the following
reaction-diffusion system with cross-diffusion matrix
We show that if
and
satisfy some suitable conditions, then...
We use subfunctions and superfunctions to derive sufficient conditions for the existence of extremal solutions to initial value problems for ordinary differential equations with discontinuous and singular nonl...
We present some recent existence results for second-order singular periodic differential equations. A nonlinear alternative principle of Leray-Schauder type, a well-known fixed point theorem in cones, and Scha...
We consider a multi-point boundary value problem on the half-line with impulses. By using a fixed-point theorem due to Avery and Peterson, the existence of at least three positive solutions is obtained.
-Point Boundary Value Problems
By using bifurcation techniques, this paper investigates the existence of nodal solutions for a class of fourth-order
-point boundary va...
This paper is concerned with solving nonlinear singularly perturbed boundary value problems. Robust monotone iterates for solving nonlinear difference scheme are constructed. Uniform convergence of the monoton...
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