A class age-structured HIV/AIDS model with impulsive drug-treatment strategy.
A mixed problem for quasilinear impulsive hyperbolic equations with non stationary boundary and transmission conditions.
Attractivity of nonlinear impulsive delay differential equations.
Bounded and periodic solutions of semilinear impulsive periodic system on Banach spaces.
Existence of solutions for impulsive fractional partial neutral integro-differential inclusions with state-dependent delay in Banach spaces
We study the existence of mild solutions for a class of impulsive fractional partial neutral integro-differential inclusions with state-dependent delay. We assume that the undelayed part generates an α-resolvent operator and transform it into an integral equation. Sufficient conditions for the existence of solutions are derived by means of the fixed point theorem for discontinuous multi-valued operators due to Dhage and properties of the α-resolvent operator. An example is given to illustrate the...
Exponential stability for impulsive BAM neural networks with time-varying delays and reaction-diffusion terms.
Global stability of Clifford-valued Takagi-Sugeno fuzzy neural networks with time-varying delays and impulses
In this study, we consider the Takagi-Sugeno (T-S) fuzzy model to examine the global asymptotic stability of Clifford-valued neural networks with time-varying delays and impulses. In order to achieve the global asymptotic stability criteria, we design a general network model that includes quaternion-, complex-, and real-valued networks as special cases. First, we decompose the -dimensional Clifford-valued neural network into -dimensional real-valued counterparts in order to solve the noncommutativity...
Impulsive Partial Hyperbolic Functional Differential Equations of Fractional Order with State-Dependent Delay
MSC 2010: 26A33, 34A37, 34K37, 34K40, 35R11This paper deals with the existence and uniqueness of solutions of two classes of partial impulsive hyperbolic differential equations with fixed time impulses and state-dependent delay involving the Caputo fractional derivative. Our results are obtained upon suitable fixed point theorems.
On the oscillation of some impulsive parabolic equations with several delays
In this paper, several oscillation criteria are established for some nonlinear impulsive functional parabolic equations with several delays subject to boundary conditions. We shall mainly use the divergence theorem and some corresponding impulsive delayed differential inequalities.
On the stability of solutions of impulsive nonlinear parabolic equations
On the stability of solutions of impulsive nonlinear parabolic equations
Stability and asymptotic stability of the solutions of impulsive nonlinear pa ra bo lic equations are studied via the method of differential inequalities.
Oscillation of nonlinear impulsive hyperbolic equations with several delays.
Periodic boundary value problems for nonlinear impulsive fractional differential equation.
Stability of quasi-linear differential equations with transition conditions.
Ulam Stabilities for Partial Impulsive Fractional Differential Equations
In this paper we investigate the existence of solutions for the initial value problems (IVP for short), for a class of implicit impulsive hyperbolic differential equations by using the lower and upper solutions method combined with Schauder’s fixed point theorem.
Upper and Lower Solutions Method for Darboux Problem for Fractional Order Implicit Impulsive Partial Hyperbolic Differential Equations
In this paper we investigate the existence of solutions for the initial value problems (IVP for short), for a class of implicit impulsive hyperbolic differential equations by using the lower and upper solutions method combined with Schauder’s fixed point theorem.