Volterra Equations and Applications

Portada
C. Corduneanu, I Sandberg
CRC Press, 10 de gen. 2000 - 512 pàgines
This volume comprises selected papers presented at the Volterra Centennial Symposium and is dedicated to Volterra and the contribution of his work to the study of systems - an important concept in modern engineering. Vito Volterra began his study of integral equations at the end of the nineteenth century and this was a significant development in the theory of integral equations and nonlinear functional analysis. Volterra series are of interest and use in pure and applied mathematics and engineering.
 

Continguts

Retrospective of Vito Volterra and his Influence on Nonlinear System Theory
1
Volterra Integral Equations at Wisconsin
15
Stability and Asymptotic Behavior of Solutions of Equations with Aftereffect
27
Generalized Halanay Inequalities for Volterra Functional Differential Equations
39
Stochastic Convolutions with Kernels Arising in Some Volterra Equations
57
An Example of L Regularity for Hyperbolic Integrodifferential Equations
67
The Present Status of UAS for Volterra and Delay Equations
83
Myopic Maps and Volterra Series Approximations
95
15
251
Flight Control Using Nonlinear System Inversion
261
Differential Equations
269
18
277
19
291
Exponential Decay and Stability of Volterra Diffusion Equations
299
21
309
22
316

State Space Theory for Abstract Volterra Operators
111
Optimal Control of Volterra Equations with Special Constraints on the Control
135
Finite Element Approximation of Volterra Integral Equations
141
Abstract Differential
149
On a Nonlinear Volterra Integral Equation
157
Algorithmics Stability Tests for Certain Delay Integral Equations of Volterra Type
163
Degenerate Nonlinear Volterra Integrodifferential Equations
187
On Nonlinear Filtering of NonGaussian Processes Through Volterra Series
197
Periodic Solutions of an Integral Equation
203
Some Generalizations of the Boundaryvalue Problem of Volterra
211
Volterra Equation in Heat Conduction
221
Y Hamaya
235
Dynamics for a Periodic Differential Integral Equation
241
23
325
Monotone Operators Approach of Electrical Circuit Modeling
331
25
338
On the Qualitative Properties of the Analytical Solution of
351
Effective Medium of Heterogeneous Materials Using Integral Equations
367
Blowup Solutions of Volterra Equation
385
A Fourth Order Beltyukov Formula with Third Order Continuously Embedded
399
The Stability of Some Stochastic Integrodifferential Equations
417
Linear Integrodifferential Equations and the Theory of Reproducing Kernels
433
Uniform Approximation and Myopic Maps
449
The Inertial Manifold Property of a Boundary Control Type Problem
465
Wazewskis Inequality in a Linear Volterra Integrodifferential Equation
483
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Sobre l'autor (2000)

Corduneanu, C.; Sandberg, I

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