803 Result(s)
within
English
Analysis
Mathematics, general
Partial Differential Equations
**hu Li
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Article
Open AccessExistence and global stability of positive periodic solutions of a discrete predator-prey system with delays
We study the existence and global stability of positive periodic solutions of a periodic discrete predator-prey system with delay and Holling type III functional response. By using the continuation theorem of ...
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Article
Open AccessExistence of solutions for a nonlinear elliptic Dirichlet boundary value problem with an inverse square potential
Via the linking theorem, the existence of nontrivial solutions for a nonlinear elliptic Dirichlet boundary value problem with an inverse square potential is proved.
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Article
Open AccessBlowup for degenerate and singular parabolic system with nonlocal source
We deal with the blowup properties of the solution to the degenerate and singular parabolic system with nonlocal source and homogeneous Dirichlet boundary conditions. The existence of a unique classical nonneg...
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Open AccessExistence of positive solution for second-order impulsive boundary value problems on infinity intervals
We deal with the existence of positive solutions to impulsive second-order differential equations subject to some boundary conditions on the semi-infinity interval.
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Open AccessExtremal Solutions of Periodic Boundary Value Problems for First-Order Impulsive Integrodifferential Equations of Mixed-Type on Time Scales
We consider the existence of minimal and maximal solutions of periodic boundary value problems for first-order impulsive integrodifferential equations of mixed-type on time scales by establishing a comparison ...
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Open AccessSolvability of Second-Order -Point Boundary Value Problems with Impulses
By Leray-Schauder continuation theorem and the nonlinear alternative of Leray-Schauder type, the existence of a solution for an -point bo...
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Open AccessDynamical Properties for a Class of Fourth-Order Nonlinear Difference Equations
We consider the dynamical properties for a kind of fourth-order rational difference equations. The key is for us to find that the successive lengths of positive and negative semicycles for nontrivial solutions...
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Open AccessSeveral Existence Theorems of Monotone Positive Solutions for Third-Order Multipoint Boundary Value Problems
Using fixed point index theory, we obtain several sufficient conditions of existence of at least one positive solution for third-order -p...
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Open AccessBlowup for a Non-Newtonian Polytropic Filtration System Coupled via Nonlinear Boundary Flux
We study the global existence and the global nonexistence of a non-Newtonian polytropic filtration system coupled via nonlinear boundary flux. We first establish a weak comparison principle, then discuss the l...
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Open AccessAlmost-Periodic Weak Solutions of Second-Order Neutral Delay-Differential Equations with Piecewise Constant Argument
We investigate the existence of almost-periodic weak solutions of second-order neutral delay-differential equations with piecewise constant argument of the form
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Article
Open AccessExistence and Location Results for Fully Nonlinear Boundary Value Problem of n th-Order Nonlinear System
By appropriate bounding function pair and modified functions, using the theory of differential inequalities, this paper presents the existence and location criteria of solutions for the system of general n th-ord...
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Open AccessImpulsive Stabilization for a Class of Neural Networks with Both Time-Varying and Distributed Delays
The impulsive control method is developed to stabilize a class of neural networks with both time-varying and distributed delays. Some exponential stability criteria are obtained by using Lyapunov functionals, ...
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Open AccessMultiple Positive Solutions for Singular Elliptic Equations with Concave-Convex Nonlinearities and Sign-Changing Weights
We study existence and multiplicity of positive solutions for the following Dirichlet equations: in
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Open AccessSolving the Axisymmetric Inverse Heat Conduction Problem by a Wavelet Dual Least Squares Method
We consider an axisymmetric inverse heat conduction problem of determining the surface temperature from a fixed location inside a cylinder. This problem is ill-posed; the solution (if it exists) does not depen...
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Article
Open AccessGlobal Stability Analysis for Periodic Solution in Discontinuous Neural Networks with Nonlinear Growth Activations
This paper considers a new class of additive neural networks where the neuron activations are modelled by discontinuous functions with nonlinear growth. By Leray-Schauder alternative theorem in differential in...
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Open AccessPositive Solution to a Singular -Laplacian BVP with Sign-Changing Nonlinearity Involving Derivative on Time Scales
Let be a time scale such that . By using a monotone iterati...
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Open AccessOn the Spectrum of Almost Periodic Solution of Second-Order Neutral Delay Differential Equations with Piecewise Constant of Argument
The spectrum containment of almost periodic solution of second-order neutral delay differential equations with piecewise constant of argument (EPCA, for short) of the form
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Article
Open AccessExistence of Positive Solutions for Multipoint Boundary Value Problem on the Half-Line with Impulses
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.
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Article
Open AccessInfinitely Many Solutions for a Semilinear Elliptic Equation with Sign-Changing Potential
We consider a similinear elliptic equation with sign-changing potential , ...
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Open AccessOn Initial Boundary Value Problems with Equivalued Surface for Nonlinear Parabolic Equations
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...
