Second Order Equations in Functional Spaces: Qualitative and Discrete Well-Posedness-Reference-Cited by-同舟云学术

Second Order Equations in Functional Spaces: Qualitative and Discrete Well-Posedness

Published:2015 Issue: Volume:2015 Page:1-63
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Ashyralyev A.¹,Pastor J.²,Piskarev S.³,Yurtsever H. A.⁴

Affiliation:

1. Department of Mathematics, Fatih University, Buyukcekmece, 34500 Istanbul, Turkey

2. Department of Applied Mathematics, University of Valencia, Burjassot, 46100 Valencia, Spain

3. Scientific Research Computer Center, Lomonosov Moscow State University, Vorobyovy Gory, Moscow 119899, Russia

4. American Islamic College, Chicago, IL 60613, USA

Abstract

The present survey contains the recent results on the local and nonlocal well-posed problems for second order differential and difference equations. Results on the stability of differential problems for second order equations and of difference schemes for approximate solution of the second order problems are presented.

Funder

Russian Foundation for Basic Research

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2015/948321.pdf

Reference122 articles.

1. Well-Posedness of Parabolic Difference Equations

2. Operator Theory: Advances and Applications,2004

3. Backward Euler Scheme, Singular Hölder Norms, and Maximal Regularity for Parabolic Difference Equations