Some nonlinear singularly perturbed volterra integrodifferential equations

1979 ◽  
pp. 107-119 ◽  
Author(s):  
G. S. Jordan
Keyword(s):  
Integrodifferential Equations ◽  
Singularly Perturbed

Boundary-Value Problems with Initial Jumps for Singularly Perturbed Integrodifferential Equations

2017 ◽  
Vol 222 (3) ◽  
pp. 214-225
Author(s):  
M. K. Dauylbaev ◽  
A. E. Mirzakulova
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Integrodifferential Equations ◽  
Singularly Perturbed

Singularly perturbed integrodifferential equations with unstable spectrum

1989 ◽  
Vol 41 (3) ◽  
pp. 346-349
Author(s):  
L. I. Novakovskaya
Keyword(s):  
Integrodifferential Equations ◽  
Singularly Perturbed

scholarly journals Asymptotics of integrodifferential models with integrable kernels II

2003 ◽  
Vol 2003 (50) ◽  
pp. 3153-3169
Author(s):  
Angelina M. Bijura
Keyword(s):  
Singular Perturbation ◽  
Mellin Transform ◽  
Perturbation Methods ◽  
Fractional Integration ◽  
Integrodifferential Equations ◽  
Singularly Perturbed ◽  
Weakly Singular Kernels ◽  
Weakly Singular ◽  
Singular Perturbation Methods ◽  
Singular Kernels

Nonlinear singularly perturbed Volterra integrodifferential equations with weakly singular kernels are investigated using singular perturbation methods, the Mellin transform technique, and the theory of fractional integration.

scholarly journals Asymptotics of integrodifferential models with integrable kernels

2003 ◽  
Vol 2003 (25) ◽  
pp. 1577-1598 ◽  
Author(s):  
Angelina M. Bijura
Keyword(s):  
Singular Perturbation ◽  
Perturbation Method ◽  
Fractional Integration ◽  
Integrodifferential Equations ◽  
Singularly Perturbed ◽  
Asymptotic Solutions ◽  
Additive Decomposition ◽  
Singular Perturbation Method

The additive decomposition singular perturbation method and the theory of fractional integration are used to study asymptotic solutions of singularly perturbed Volterra integrodifferential equations with kernels having integrable singularity. The validity of the approximation is also demonstrated.

Approximate feedback design for a class of singularly perturbed systems

1982 ◽  
Vol 129 (2) ◽  
pp. 49 ◽  
Author(s):  
M.S. Mahmoud ◽  
M.F. Hassan ◽  
M.G. Singh
Keyword(s):  
Singularly Perturbed ◽  
Singularly Perturbed Systems ◽  
Feedback Design ◽  
Perturbed Systems
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