6 edition of **Nonclassical linear Volterra equations of the first kind** found in the catalog.

- 119 Want to read
- 17 Currently reading

Published
**2003**
by VSP in Utrecht, Boston
.

Written in English

- Volterra equations.

**Edition Notes**

Includes bibliographical references (p. [153]-165) and index.

Statement | A.S. Apartsyn. |

Series | Inverse and ill-posed problems series, |

Classifications | |
---|---|

LC Classifications | QA431 .A65 2003 |

The Physical Object | |

Pagination | viii, 168 p. : |

Number of Pages | 168 |

ID Numbers | |

Open Library | OL3707270M |

ISBN 10 | 9067643750 |

LC Control Number | 2003278783 |

OCLC/WorldCa | 52048440 |

(a linear Volterra integral equation of the second kind). Here, are real numbers, is a (generally complex) parameter, is an unknown function,, are given functions which are square-integrable on and in the domain,, function is called the free term, while the function is called the kernel.. Volterra equations may be regarded as a special case of Fredholm equations (cf. A nonclassical Volterra linear integral equation of the first kind describing the dynamics of an developing system with allowance for its age structure is considered. The connection of this equation with the classical Volterra linear integral equation of the first kind with a piecewise-smooth kernel is studied. For solving such equations, the quadrature method is by: 1.

PDF | The sufficient conditions are obtained for the existence and uniqueness of continuous solution to the linear nonclassical Volterra equation that | Find, read and cite all the research you. УДК On the basis of a new approach, we prove the uniqueness theorem and construct Lavrent'ev's regularizing operators for the solution of nonclassical linear Volterra integral equations of the first kind with nondifferentiable kernels.

A nonclassical Volterra linear integral equation of the first kind describing the dynamics of an developing system with allowance for its age structure is considered. The connection of this equation with the classical Volterra linear integral equation of the first kind with a piecewise-smooth kernel is studied. For solving such equations, the quadrature method is applied. While Chapter V of [13] contains some results about regularization of linear Volterra equations of the first kind in Banach spaces, Chapter 1 of [14] and the references given there are concerned with classical scalar Abel equations, the numerics of which is considered, e.g. in [ 15, and Section of Vol. 4 of [lo], a book which also Cited by:

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Series: Book Book Series. Overview. Aims and Scope. This monograph deals with linear integra Volterra equations of the first kind with variable upper and lower limits of integration. Volterra operators of this type are the basic operators for integral models of dynamic systems. Details. This monograph deals with linear integra Volterra equations of the first kind with variable upper and lower limits of integration.

Volterra operators of this type are the basic operators for integral models of dynamic systems. Get this from a library.

Nonclassical linear Volterra equations of the first kind. [A S Apart︠s︡in] -- This monograph deals with linear integra Volterra equations of the first kind with variable upper and lower limits of integration. Volterra operators of this type are the basic operators for integral.

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Apartsyn, Anatoly S. Apartsyn (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible : A. Apartsyn, Anatoly S. Apartsyn. Nonclassical linear Volterra equations of the first kind. Bibliographic Details; Main Author: Apart︠s︡in, A. a Nonclassical linear Volterra equations of the first kind |h a Volterra equations.

4 |a Electronic books. Nonclassical Linear Volterra Equations of the First Kind. Series: Book Book Series. Frontmatter Pages I-VI.

Get Access to Full Text. Introduction. Chapter 3. Volterra equations of the first kind with two variable limits of integration. The case a(t0) = t0.

Pages Get Access to Full Text. Bibliography. Pages Download nonclassical linear volterra equations of the first kind or read online books in PDF, EPUB, Tuebl, and Mobi Format.

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Apartsyn. ISBN: OCLC Number: Description: viii, pages: some table ; 25 cm. Contents: IntroductionClassical Volterra equations of the first kindClassification of integral Volterra equations of the first kindThe Gronwall-Bellman lemmaA difference analog of the Gronwall-Bellman lemmaSelf-regularizationTwo-parametric (a, h)-regularizationInequalities with isotone.

Volterra integral and functional equations / by: Gripenberg, G. Published: () Evolutionary Integral Equations and Applications by: Prüss, Jan.

Published: () Integral transforms and Volterra functions by: Apelblat, Alexander. Nonclassical Linear Volterra Equations of the First Kind: A. Apartsyn, Anatoly S. Apartsyn: Books - or: A. Apartsyn, Anatoly S. Apartsyn. Buy (ebook) Nonclassical Linear Volterra Equations of the First Kind by Anatoly S.

Apartsyn, eBook format, from the Dymocks online bookstore. Nonclassical Linear Volterra Equations of the First Kind 1st Edition by Anatoly S. Apartsyn and Publisher De Gruyter. Save up to 80% by choosing the eTextbook option for ISBN:The print version of this textbook is ISBN:In mathematics, the Volterra integral equations are a special type of integral equations.

They are divided into two groups referred to as the first and the second kind. A linear Volterra equation of the first kind is = ∫ (,) ()where ƒ is a given function and x is an unknown function to be solved for. A linear Volterra equation of the second kind is. This book offers a comprehensive introduction to the theory of linear and nonlinear Volterra integral equations (VIEs), ranging from Volterra's fundamental contributions and the resulting classical theory to more recent developments that include Volterra functional integral equations with various kinds of delays, VIEs with highly oscillatory kernels, and VIEs with non-compact by:.

Apartsin, A.S., On the Theory of Non-Classical Volterra Equations of the First Kind, in Preprints of the 4th Int. Symp. on Inverse Problems, Design and Cited by: 8.Nonclassical Linear Volterra Equations of the First Kind by A S Apartsyn (): A S Apartsyn;Anatoly S Apartsyn: Books - or: A S Apartsyn;Anatoly S Apartsyn.References.

A. S. Apartsyn, Nonclassical Linear Volterra Equations of the First Kind, VSP, TB Utrecht, The Netherlands, A. L. Bukhgeim, Volterra Equations and Cited by: 1.