Theory and Modern Applications
Page 92 of 98
We study the existence and uniqueness of mild solution of a class of nonlinear nonautonomous fractional integrodifferential equations with infinite delay in a Banach space
Necessary and sufficient conditions for regular or slow variation of all positive solutions of a second-order linear difference equation with arbitrary sign coefficient are established. Relations with the so-c...
The classical Nambu mechanics is generalized to involve fractional derivatives using two different methods. The first method is based on the definition of fractional exterior derivative and the second one is b...
Our goal is to investigate the existence of the positive solutions, the existence of a nonnegative equilibrium, and the convergence of a positive solution to a nonnegative equilibrium of the fuzzy difference e...
This paper is concerned with the following nonlinear difference equation
where the initial data
...
We consider a singularly perturbed one-dimensional convection-diffusion three-point boundary value problem with zeroth-order reduced equation. The monotone operator is combined with the piecewise uniform Shish...
We consider the quasilinear parabolic equation with inhomogeneous term
,
We consider a delayed Holling type II predator-prey system with birth pulse and impulsive harvesting on predator population at different moments. Firstly, we prove that all solutions of the investigated system...
The main purpose of this paper is to present some properties of the meromorphic solutions of complex difference equation of the form
, w...
-Adic Integral Representation on
Associated with Bernstein and Bernoulli Polynomials
We consider the Bernstein polynomials on
and investigate some interesting properties of Bernstein polynomials related to Stirling numbe...
Approximate controllability for semilinear abstract discrete-time systems is considered. Specifically, we consider the semilinear discrete-time system
A discrete predator-prey system with time delay and feedback controls is studied. Sufficient conditions which guarantee the predator and the prey to be permanent are obtained. Moreover, under some suitable con...
This is an extension of the work done by Currie and Love (2010) where we studied the effect of applying two Crum-type transformations to a weighted second-order difference equation with non-eigenparameter-depe...
A nonautonomous
-species discrete Lotka-Volterra competitive system with delays and feedback controls is considered in this work. Suffic...
The existence of bounded nonoscillatory solutions of a higher-order nonlinear neutral delay difference equation
,
...
The global existence of solution to a viscous coupled Camassa-Holm equation with the periodic boundary condition is investigated. We obtain the compact and bounded absorbing set and the existence of the global...
By applying the Banach fixed point theorem and using an inequality technique, we investigate a kind of random impulsive integrodifferential equations of neutral type. Some sufficient conditions, which can guar...
By using the critical point theory, we establish some existence criteria to guarantee that the nonlinear difference equation
has at lea...
-Laplacian Multipoint Boundary Value Problem
By virtue of the Avery-Henderson fixed point theorem and the five functionals fixed point theorem, we analytically establish several sufficient criteria for the existence of at least two or three positive solu...
The initial boundary value problem for a class of hyperbolic equations with strong dissipative term
in a bounded domain is studied. The...
We consider a general weighted second-order difference equation. Two transformations are studied which transform the given equation into another weighted second order difference equation of the same type, thes...
For dynamic equations on time scales with positive variable coefficients and several delays, we prove that nonoscillation is equivalent to the existence of a positive solution for the generalized characteristi...
We present the results of theoretical researches of the developed hyperspherical function
for the appropriate functional matrix, generalized on...
Some sufficient conditions are established for the oscillation of second-order neutral differential equation
,
...
-Analogs of the Generalized Euler Numbers and Polynomials of Higher Order
We consider the twisted
-extensions of the generalized Euler numbers and polynomials attached to
...
We investigate the following nonlinear first-order periodic boundary value problem on time scales:
,
...
We study the existence and uniqueness of mild solution of a class of nonlinear fractional integrodifferential equations
,
We prove the existence and uniqueness of solutions for nonlinear integro-differential equations of fractional order
with three-point no...
-Dimensional Fuzzy Vector Space
We study the existence and uniqueness of solutions and nonlocal controllability for the impulsive semilinear nonlocal fuzzy integrodifferential equations in
Sufficient conditions are obtained for the uniform stability and global attractivity of the zero solution of nonlinear scalar delay impulsive difference equation, which extend and improve the known results in ...
The method of upper and lower solutions and the generalized quasilinearization technique for second-order nonlinear m-point dynamic equations on time scales of the type
...
We propose a novel approach of parameter identification using the adaptive synchronized observer by introducing an auxiliary subsystem, and some sufficient conditions are given to guarantee the convergence of ...
-Bernoulli Polynomials and the Twisted Generalized
-Bernoulli Polynomials
We define the twisted
-Bernoulli polynomials and the twisted generalized
-Be...
We investigate some new nonlinear integral inequalities in two independent variables. The inequalities given here can be used as tools in the qualitative theory of certain nonlinear partial differential equati...
Based on symbolic dynamics, the paper provides a satisfactory and necessary condition of existence for consecutive periodic orbits of the Lorenz maps. In addition, a new algorithm with computer assistance base...
It is shown that the decay rates of the positive, monotone decreasing solutions approaching the zero equilibrium of higher-order nonlinear difference equations are related to the positive characteristic values...
Conditions are derived of the existence of solutions of linear Fredholm's boundary-value problems for systems of ordinary differential equations with constant coefficients and a single delay, assuming that the...
We consider the problem of existence and structure of solutions bounded on the entire real axis of nonhomogeneous linear impulsive differential systems. Under assumption that the corresponding homogeneous syst...
Rassias(2001) introduced the pioneering cubic functional equation in the history of mathematical analysis:
and solved the pertinent fam...
In this paper, we investigate the singular Sturm-Liouville problem
,
,
We revive the study of the symmetric three-term recurrence equations. Our main result shows that these equations have a natural symplectic structure, that is, every symmetric three-term recurrence equation is ...
We consider coupled boundary value problems for second-order symmetric equations on time scales. Existence of eigenvalues of this boundary value problem is proved, numbers of their eigenvalues are calculated, ...
We propose a fractional-order controller to stabilize unstable fractional-order open-loop systems with interval uncertainty whereas one does not need to change the poles of the closed-loop system in the propos...
We discuss a general
-species discrete Kolmogorov system with time lags. We build some new results about the sufficient conditions for p...
The asymptotic behavior of the solutions of the first-order differential equation
containing delays is studied with
We prove that every positive solution of the max-type difference equation
,
The method to compare only one component of the solution vector of linear functional differential systems, which does not require heavy sign restrictions on their coefficients, is proposed in this paper. Neces...
The paper deals with local symmetries of the infinite-order jet space of
-smooth n-dimensional submanifolds in
...
This paper is concerned with the nonlinear system
. We give a converse Lyapunov theorem and prove robustness of uniform exponential diss...
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