Global attractivity for a differential-difference population model.
Non-homogeneous boundary-value problems of higher order differential equations with -Laplacian.
Solutions to second order non-homogeneous multi-point bvps using a fixed-point theorem.
Positive solutions of boundary value problems for -order differential equations.
Solvability of a -type multipoint boundary value problem for higher-order differential equations.
Periodic boundary value problems for th-order ordinary differential equations with -Laplacian.
On nonlinear boundary value problems for functional difference equations with -Laplacian.
Monotone positive solutions for -Laplacian equations with sign changing coefficients and multi-point boundary conditions.
Twin positive solutions for three-point boundary value problems of higher-order differential equations.
Existence of solutions of periodic boundary value problems for impulsive functional Duffing equations at nonresonance case.
New existence results on nonhomogeneous Sturm-Liouville type BVPs for higher-order p-Laplacian differential equations
A class of nonlinear boundary value problems for p-Laplacian differential equations is studied. Sufficient conditions for the existence of solutions are established. The nonlinearities are allowed to be superlinear. We do not apply the Green's functions of the relevant problem and the methods of obtaining a priori bounds for solutions are different from known ones. Examples that cannot be covered by known results are given to illustrate our theorems.
Studies on BVPs for IFDEs involved with the Riemann-Liouville type fractional derivatives
In this article, we present a new method for converting the boundary value problems for impulsive fractional differential systems involved with the Riemann-Liouville type derivatives to integral systems, some existence results for solutions of a class of boundary value problems for nonlinear impulsive fractional differential systems at resonance case and non-resonance case are established respectively. Our analysis relies on the well known Schauder’s fixed point theorem and coincidence degree theory....
The existence of multiple positive solutions of -Laplacian boundary value problems
A note on the existence of positive solutions of one-dimensional -Laplacian boundary value problems
This paper is concerned with the existence of positive solutions of a multi-point boundary value problem for higher-order differential equation with one-dimensional -Laplacian. Examples are presented to illustrate the main results. The result in this paper generalizes those in existing papers.
A survey and some new results on the existence of solutions of IPBVPs for first order functional differential equations
This paper deals with the periodic boundary value problem for nonlinear impulsive functional differential equation We first present a survey and then obtain new sufficient conditions for the existence of at least one solution by using Mawhin’s continuation theorem. Examples are presented to illustrate the main results.
Existence of solutions of impulsive boundary value problems for singular fractional differential systems
A class of impulsive boundary value problems of fractional differential systems is studied. Banach spaces are constructed and nonlinear operators defined on these Banach spaces. Sufficient conditions are given for the existence of solutions of this class of impulsive boundary value problems for singular fractional differential systems in which odd homeomorphism operators (Definition 2.6) are involved. Main results are Theorem 4.1 and Corollary 4.2. The analysis relies on a well known fixed point...
Periodic solutions of second order nonlinear functional difference equations
Sufficient conditions for the existence of at least one periodic solution of second order nonlinear functional difference equations are established. We allow to be at most linear, superlinear or sublinear in obtained results.
Positive periodic solutions of impulsive delay differential equations with sign-changing coefficient.
IVPs for singular multi-term fractional differential equations with multiple base points and applications
The purpose of this paper is to study global existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations. By constructing a special Banach space and employing fixed-point theorems, some sufficient conditions are obtained for the global existence and uniqueness of solutions of this kind of equations involving Caputo fractional derivatives and multiple base points. We apply the results to solve the forced logistic model with multi-term fractional...
Asymptotic behavior of solutions of generalized ``food-limited'' type functional differential equations
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