Resolvent Operators for Some Classes of Integro-Differential Equations

I. N. Parasidis () and E. Providas ()
Additional contact information
I. N. Parasidis: Department of Electrical Engineering
E. Providas: Department of Mechanical Engineering

A chapter in Mathematical Analysis, Approximation Theory and Their Applications, 2016, pp 535-558 from Springer

Abstract: Abstract Explicit representations are constructed for the resolvents of the operators of the form B = A ̂ + Q 1 $$B =\widehat{ A} + Q_{1}$$ and B = A ̂ 2 + Q 2 $$\mathbf{B} =\widehat{ A}^{2} + Q_{2}$$ , where A ̂ $$\widehat{A}$$ and A ̂ 2 $$\widehat{A}^{2}$$ are linear closed operators with known resolvents and Q 1 and Q 2 are perturbation operators embedding inner products of A ̂ $$\widehat{A}$$ and A ̂ 2 $$\widehat{A}^{2}$$ as they appear in integro-differential equations and other applications.

Keywords: Resolvent Operator; Integro-Differential Equations; Boundary value Problems; Exact Solution (search for similar items in EconPapers)
Date: 2016
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-31281-1_24

Ordering information: This item can be ordered from
http://www.springer.com/9783319312811

DOI: 10.1007/978-3-319-31281-1_24

Access Statistics for this chapter

More chapters in Springer Optimization and Its Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().