Theory and Modern Applications
Page 94 of 98
By using a multiple fixed point theorem (Avery-Peterson fixed point theorem) for cones, some criteria are established for the existence of three positive periodic solutions for a class of higher-dimensional fu...
This paper deals with variational optimal-control problems on time scales in the presence of delay in the state variables. The problem is considered on a time scale unifying the discrete, the continuous, and t...
Szekeley observed that the dynamic pattern of the locomotion of salamanders can be explained by periodic vector sequences generated by logical neural networks. Such sequences can mathematically be described by...
-Laplacian Equations on Time Scales
We systematically explore the periodicity of Liénard type
-Laplacian equations on time scales. Sufficient criteria are established for the exist...
The existence and uniqueness of solutions and a representation of solution formulas are studied for the following initial value problem:
We will investigate the superstability of the (hyperbolic) trigonometric functional equation from the following functional equations:
,
We study the asymptotic behavior of the solutions for the following nonlinear difference equation
where the initial conditions
-Point BVPs for Third-Order
-Laplacian Dynamic Equations on Time Scales
This paper is concerned with the existence of multiple positive solutions for the third-order
-Laplacian dynamic equation
...
By using variational methods directly, we establish the existence of periodic solutions for a class of nonautonomous differential delay equations which are superlinear both at zero and at infinity.
th-Order Boundary Value Problem for Difference Equation via Variational Method
The variational method and critical point theory are employed to investigate the existence of solutions for 2
th-order difference equatio...
By using the critical point theory, we establish various sets of sufficient conditions on the nonexistence and existence of solutions for the boundary value problems of a class of fourth-order difference equat...
By constructing available upper and lower solutions and combining the Schauder's fixed point theorem with maximum principle, this paper establishes sufficient and necessary conditions to guarantee the existenc...
We mainly study the global behavior of the nonlinear difference equation in the title, that is, the global asymptotical stability of zero equilibrium, the existence of unbounded solutions, the existence of per...
We consider special basic difference equations which are related to discretizations of Schrödinger equations on time scales with special symmetry properties, namely, so-called basic discrete grids. These grids...
We employ Kranoselskii's fixed point theorem to establish the existence of nonoscillatory solutions to the second-order neutral delay dynamic equation
We show that the recessive solution of the second-order half-linear difference equation
,  
...
Stochastic effects on convergence dynamics of reaction-diffusion Cohen-Grossberg neural networks (CGNNs) with delays are studied. By utilizing Poincaré inequality, constructing suitable Lyapunov functionals, a...
In this paper we study the boundedness, the persistence, the attractivity and the stability of the positive solutions of the nonlinear difference equation
We investigate the stability problem for the following functional inequality
on restricted domains of Banach modules over a
...
Let
be an integer with
,
...
-Species Schoener Competition System with Time Delays and Feedback Controls
A discrete
-species Schoener competition system with time delays and feedback controls is proposed. By applying the comparison theorem o...
-Dimensional Fuzzy Vector Space
We study the existence and uniqueness of solutions and controllability for the semilinear fuzzy integrodifferential equations in
-dimensional fu...
We investigate properties of identities and some interesting identities of symmetry for the Bernoulli polynomials of higher order using the multivariate
Lyness' Difference Equation
in
, with a Particular Study of the Case
We study order
Lyness' difference equation in
, with
A class of impulsive infinite delay difference equations with continuous variables is considered. By establishing an infinite delay difference inequality with impulsive initial conditions and using the propert...
-Algebras
Let
be Banach modules over a
-algebra and let
-Algebras
We use a fixed point method to investigate the stability problem of the quadratic functional equation
in
...
-Laplacian Boundary Value Problems on Time Scales
We are concerned with proving the existence of positive solutions of a nonlinear second-order four-point boundary value problem with a
-...
The purpose of this article is to investigate the existence of almost periodic solutions of a system of almost periodic Lotka-Volterra difference equations which are a prey-predator system ...
We obtain the general solution and the generalized Hyers-Ulam-Rassias stability of the mixed type additive, quadratic, and cubic functional equation
-point Boundary Value Problems on a Half-Line
By using the Leray-Schauder continuation theorem, we establish the existence of solutions for
-point boundary value problems on a half-l...
For nonnegative real numbers
,
,
...
We investigate the generalized Hyers-Ulam-Rassias stability of the system of functional equations:
,
...
We prove the existence results for second-order impulsive differential equations on time scales with antiperiodic boundary value conditions in the presence of classical fixed point theorems.
By using the fixed-point index theorem, we consider the existence of positive solutions for the following nonlinear higher-order four-point singular boundary value problem on time scales ...
We give sufficient conditions for the exponential stabilizability of a class of perturbed time-varying difference equations with multiple delays and slowly varying coefficients. Under appropiate growth conditi...
The existence of uniform attractor in
is proved for the partly dissipative nonautonomous lattice systems with a new class of external t...
We study the existence of weak solutions for second-order boundary value problem of impulsive dynamic equations on time scales by employing critical point theory.
-Euler Polynomials of Higher Order
The main purpose of this paper is to investigate several further interesting properties of symmetry for the multivariate
-adic fermionic...
We investigate the global behavior of the second-order difference equation
, where initial conditions and all coefficients are positive. We find...
-Point Boundary Value Problems on Time Scales
By constructing an available integral operator and combining Krasnosel'skii-Zabreiko fixed point theorem with properties of Green's function, this paper shows the existence of multiple positive solutions for a...
Our aim in this paper is to investigate some new integral inequalities on time scales, which provide explicit bounds on unknown functions. Our results unify and extend some integral inequalities and their corr...
for
We study the boundedness of the difference equation
,
where
-Laplacian
-Point Boundary Value Problems with Sign Changing Nonlinearity on Time Scales
We study the following third-order
-Laplacian
-point boundar...
The main purpose of this paper is to present the properties of the meromorphic solutions of complex difference equations of the form
, w...
By means of Riccati transformation technique, we establish some new oscillation criteria for the second-order nonlinear delay dynamic equations
Let T be a periodic time scale with period
such that
, and
-Euler Measures
Properties of
-extensions of Euler numbers and polynomials which generalize those satisfied by
...
We establish a general form of sum-difference inequality in two variables, which includes both more than two distinct nonlinear sums without an assumption of monotonicity and a nonconstant term outside the sum...
By using the Leggett-Williams fixed point theorem, the existence of three positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales w...
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