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E-raamat: Volterra Equations and Applications [Taylor & Francis e-raamat]

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Volterra Equations and ApplicationsSuurem pilt
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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.
Introduction to the Series xi
Preface xiii
Invited Papers
Retrospective of Vito Volterra and his Influence on Nonlinear System Theory
1(14)
M. Schetzen
Volterra Integral Equations at Wisconsin
15(12)
R.K. Miller
Stability and Asymptotic Behavior of Solutions of Equations with Aftereffect
27(12)
N. Azbelev
Generalized Halanay Inequalities for Volterra Functional Differential Equations and Discretized Versions
39(18)
C.T.H. Baker
A. Tang
Stochastic Convolutions with Kernals Arising in Some Volterra Equations
57(10)
P. Clement
G. Da Prato
An Example of Lp - Regularity for Hyperbolic Integrodifferential Equations
67(16)
H. Engler
The Present Status of UAS for Volterra and Delay Equations
83(12)
V. Lakshmikanthan
A.S. Valtsala
Myopic Maps and Volterra Series Approximations
95(16)
I.W. Sandberg
State Space Theory for Abstract Volterra Operators
111(14)
O.J. Staffans
Contributed Papers
Continuous Dependence for a Doubly Nonlinear Volterra Integral Equation
125(10)
S. Aizicovici
Q. Yan
Optimal Control of Volterra Equations with Special Constraints on the Control
135(6)
S.A. Belbas
Finite Element Approximation of Volterra Integral Equations
141(8)
D.M. Bedivan
G.J. Fix
Wave Phenomena in a Wave Guide with Elastic Walls: Abstract Differential Equation Formulation
149(8)
B.P. Belinskiy
J.P. Dauer
On a Nonlinear Volterra Integral Equation
157(6)
E. Buckwar
Algorithmics Stability Tests for Certain Delay Integral Equations of Volterra Type
163(10)
B. Cahlon
D. Schmidt
Volterra's Functionals Series and Wave Propagation in Weakly Nonlinear Media: The Problematics of First Principles Physical Modeling
173(14)
D. Censor
I. Gurwich
M. Sonnenschein
Degenerate Nonlinear Volterra Integrodifferential Equations
187(10)
P. Colli
M. Grasselli
On Nonlinear Filtering of Non-Gaussian Processes Through Volterra Series
197(6)
R.J.P. DeFigueiredo
Y. Hu
Periodic Solutions of an Integral Equation
203(8)
T. Furumochi
Some Generalizations of the Boundary-value Problem of Volterra
211(10)
S. Gogonea
Volterra Equation in Heat Conduction
221(14)
A. Haji-Sheikh
C. Aviles-Ramos
Global Attractivity in a Nonlinear Difference Model
235(6)
Y. Hamaya
Dynamics for a Periodic Differential Integral Equation
241(10)
W. Huang
Stable Periodic Solutions of a Class of Delay Differential Equations via Monotone Dynamical System Methods
251(10)
X. Huang
Flight Control Using Nonlinear System Inversion
261(8)
L.R. Hunt
G. Meyer
Locally Quasi-Dissipative Evolution Equations and Applications to Delay Differential Equations
269(14)
K. Ito
F. Kappel
Several Remarks on Symmetric Delay Differential Equations
283(8)
A.F. Ivanov
Volterra Integral Equations, Differential Equations and Flow-invariance
291(8)
M. Larrieu
N.H. Pavel
Exponential Decay and Stability of Volterra Diffusion Equations
299(10)
Y. Lin
J.H. Liu
C. Ma
Commutativity of Resolvent Operators in Integrodifferential Equations
309(8)
J.H. Liu
Extermal Solutions of Impulsive Integrodifferential Equations of Volterra Type
317(8)
X. Liu
Linear and Quasilinear Equations with Abstract Volterra Operators
325(6)
M. Mahdavi
Y. Li
Monotone Operators Approach of Electrical Circuit Modeling
331(10)
C.A. Marinov
Computational Treatment of the Integrodifferential Equations of Collective Non-ruin; The Ultimate Non-ruin Case
341(10)
A. Makroglou
W. Harper
B. Smith
On the Qualitative Properties of the Analytical Solution of an Integrodifferential Equation
351(6)
C. Mihalyko
Z. Laszlo
E.O. Mihalyko
A Quadratic Volterra Integral Equation and its Solution for Various Kernels
357(10)
M.K. Nestell
M. Ghandehari
Effective Medium of Heterogeneous Materials Using Integral Equations
367(6)
S. Nomura
Stochastic Functional Differential Equations with Abstract Volterra Operators 1: Existence of Solutions
373(12)
Z.C. Okonkwo
Blow-up Solutions of Volterra Equation
385(6)
W.E. Olmstead
Sample Solutions of Stochastic Integral Equations
391(8)
D. O'Regan
A Fourth Order Bel'tyukov Formula with Third Order Continuously Embedded
399(4)
C. Outlaw
Does ``Chaos'' Exist Mostly in Computing Machinery?
403(8)
F.R. Payne
Asymptotic Behaviour for Some Nonlinear Hyperbolic Equations
411(6)
H. Poorkarimi
The Stability of Some Stochastic Integrodifferential Equations
417(10)
V.D. Potapov
A Method to Determine Growth Rates of Nonlinear Volterra Equations
427(6)
C.A. Roberts
Linear Integrodifferential Equations and the Theory of Reproducing Kernels
433(8)
S. Saitoh
Volterra Integral Processes with Delay: Necessary Optimality Conditions
441(8)
W.H. Schmidt
Uniform Approximation and Myopic Maps
449(8)
I.W. Sandberg
L. Xu
Nonselfadjoint Spectral Operators and Their Application to Control Theory
457(8)
M.A. Shubov
The Intertial Manifold Property of a Boundary Control Type Problem
465(10)
J. Su
Solution of Nonlinear Integrodifferential Equations with Boundary Conditions Using an Algebraic Method
475(8)
A. Stulov
Wazewski's Inequality in a Linear Volterra Integrodifferential Equation
483(10)
T. Wang
Subject Index 493(2)
Author Index 495


Corduneanu, C.; Sandberg, I
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