Monotone method for first-order functional differential equations

Authors:
J. J. Nieto;R. Rodríguez-López
Affiliations:
-;-
Venue:
Computers & Mathematics with Applications
Year:
2006

Citing 4
Cited 7

Boundary value problems for functional differential equations

Nonlinear Analysis: Theory, Methods & Applications
Nonlinear ergodic theorems for semigroups of non-Lipschitzian mappings in Banach spaces

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Monotone method for first- and second-order periodic boundary value problems and periodic solutions of functional differential equations

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Remarks on periodic boundary value problems for functional differential equations

Journal of Computational and Applied Mathematics

Periodic boundary value problem for first-order impulsive functional differential equations

Computers & Mathematics with Applications
Boundary value problems for a class of impulsive functional equations

Computers & Mathematics with Applications
Monotone method for a system of nonlinear mixed type implicit impulsive integro-differential equations in Banach spaces

Journal of Computational and Applied Mathematics
Periodic boundary value problems for first order functional differential equations with impulse

Journal of Computational and Applied Mathematics
Preservation of oscillations of the Runge-Kutta method for equation x'(t)+ax(t)+a1x([t-1])=0

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A monotone iterative technique for stationary and time dependent problems in Banach spaces

Journal of Computational and Applied Mathematics
Anti-periodic boundary value problems of second order impulsive differential equations

Computers & Mathematics with Applications

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Abstract

We study periodic boundary value problems relative to a general class of first-order functional differential equations. For this class of problems, we develop the monotone iterative technique. Our formulation is very general, including delay differential equations, functional differential equations with maxima and integro-differential equations, but the case where the operator defining the functional dependence is not necessarily Lipschitzian is also considered.