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DIFFERENTIABILITY OF SOLUTIONS OF LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
(Universidad Católica del Norte, Departamento de Matemáticas, 2002)
Measure Neutral Functional Differential Equations as Generalized ODEs
(Springer, 2019-03-01)
In this paper, we introduce a class of measure neutral functional differential equations of type through the relation with a certain class of eneralized ordinary differential equations introduced in Federson and Schwabik ...
Continuous dependence on parameters
(2021-01-01)
This chapter aims to investigate the results on continuous dependence on parameters for generalized ordinary differential equations (ODEs) taking values in a Banach space. It includes a new result on the convergence of ...
Almost automorphic mild solutions to some partial neutral functional-differential equations and applications
(PERGAMON-ELSEVIER SCIENCE LTD, 2008)
The paper considers the existence and uniqueness of almost automorphic mild solutions to some classes of first-order partial neutral functional-differential equations. Sufficient conditions for the existence and uniqueness ...
Linear fractional differential equations and eigenfunctions of fractional differential operators
(2018-05-01)
Eigenfunctions associated with Riemann–Liouville and Caputo fractional differential operators are obtained by imposing a restriction on the fractional derivative parameter. Those eigenfunctions can be used to express the ...
Antiperiodic solutions for nth-order functional differential equations with infinite delay
(2016-02-02)
In this work, we establish the existence and uniqueness of antiperiodic solution for a class of nth-order functional differential equations with infinite delay. The main tool in our study is the coincidence degree theory. ...
ANTIPERIODIC SOLUTIONS FOR nTH-ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
(Texas State Univ, 2016-02-02)
In this work, we establish the existence and uniqueness of antiperiodic solution for a class of nth-order functional differential equations with infinite delay. The main tool in our study is the coincidence degree theory. ...
Bounded and periodic solutions of nonlinear integro-differential equations with infinite delay
(2009)
By using the concept of integrable dichotomy, the fixed point theory, functional analysis methods and some new technique of analysis, we obtain new criteria for the existence and uniqueness of bounded and periodic solutions ...
Lipschitz stability of generalized ordinary differential equations and impulsive retarded differential equations
(2019-01-01)
We consider a class of retarded functional differential equations with preas-signed moments of impulsive effect and we study the Lipschitz stability of solutions of these equations using the theory of generalized ordinary ...