Spline Function Approximation for Solutions of Functional Differential Equations

1975 ◽  
Vol 12 (1) ◽  
pp. 73-88 ◽  
Author(s):  
Gene A. Kemper
Keyword(s):  
Differential Equations ◽  
Function Approximation ◽  
Spline Function ◽  
Functional Differential Equations ◽  
Spline Function Approximation ◽  
Functional Differential

scholarly journals A deficient spline function approximation to fourth-order differential equations

1994 ◽  
Vol 18 (12) ◽  
pp. 658-664 ◽  
Author(s):  
M. Nabil Esmail ◽  
Tharwat Fawzy ◽  
Magdy Ahmed ◽  
Hamdi O. Elmoselhi
Keyword(s):  
Differential Equations ◽  
Fourth Order ◽  
Function Approximation ◽  
Spline Function ◽  
Spline Function Approximation

Stability of Implicit Difference Equations Generated by Parabolic Functional Differential Problems

2007 ◽  
Vol 7 (1) ◽  
pp. 68-82
Author(s):  
K. Kropielnicka
Keyword(s):  
Differential Equations ◽  
Functional Differential Equations ◽  
Initial Boundary ◽  
Numerical Examples ◽  
Convergence Results ◽  
Nonlinear Parabolic ◽  
Implicit Difference Methods ◽  
Neumann Type ◽  
Difference Methods ◽  
Functional Differential

AbstractA general class of implicit difference methods for nonlinear parabolic functional differential equations with initial boundary conditions of the Neumann type is constructed. Convergence results are proved by means of consistency and stability arguments. It is assumed that given functions satisfy nonlinear estimates of Perron type with respect to functional variables. Differential equations with deviated variables and differential integral problems can be obtained from a general model by specializing given operators. The results are illustrated by numerical examples.

On fractional differential equations with state-dependent delay via Kuratowski measure of noncompactness

Filomat ◽  
2017 ◽  
Vol 31 (2) ◽  
pp. 451-460 ◽  
Author(s):  
Mohammed Belmekki ◽  
Kheira Mekhalfi
Keyword(s):  
Differential Equations ◽  
Measure Of Noncompactness ◽  
Mild Solutions ◽  
Functional Differential Equations ◽  
Kuratowski Measure Of Noncompactness ◽  
State Dependent ◽  
State Dependent Delay ◽  
Liouville Fractional Derivative ◽  
Fractional Differential ◽  
Functional Differential

This paper is devoted to study the existence of mild solutions for semilinear functional differential equations with state-dependent delay involving the Riemann-Liouville fractional derivative in a Banach space and resolvent operator. The arguments are based upon M?nch?s fixed point theoremand the technique of measure of noncompactness.

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