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Book Chapter: Advances in Opial's Type Integral Inequalities

TitleAdvances in Opial's Type Integral Inequalities
Authors
KeywordsOpial-type inequalities
Issue Date2014
PublisherSpringer
Citation
Advances in Opial's Type Integral Inequalities. In Rassias, TM & Pardalos, PM (Eds.), Mathematics Without Boundaries: Surveys In Pure Mathematics, p. 749-778. New York, NY: Springer, 2014 How to Cite?
AbstractOpial’s inequality and its generalizations, extensions and discretizations play a fundamental role in the study of existence and uniqueness of initial and boundary value problems for ordinary and partial differential equations as well as difference equations. Over the years, Opial’s type integral inequalities have been receiving non-diminishing attention. In this article, we establish some new Opial’s type integral inequalities which in special cases yield some existing results of Rozanova, Agarwal-Pang, Pachpatte, Das and Agarwal-Sheng, and provide new and handy tools to qualitative as well as quantitative analysis of solutions to differential equations.
Persistent Identifierhttp://hdl.handle.net/10722/210950
ISBN

 

DC FieldValueLanguage
dc.contributor.authorZhao, CJ-
dc.contributor.authorCheung, WS-
dc.date.accessioned2015-06-23T06:01:01Z-
dc.date.available2015-06-23T06:01:01Z-
dc.date.issued2014-
dc.identifier.citationAdvances in Opial's Type Integral Inequalities. In Rassias, TM & Pardalos, PM (Eds.), Mathematics Without Boundaries: Surveys In Pure Mathematics, p. 749-778. New York, NY: Springer, 2014-
dc.identifier.isbn9781493911059-
dc.identifier.urihttp://hdl.handle.net/10722/210950-
dc.description.abstractOpial’s inequality and its generalizations, extensions and discretizations play a fundamental role in the study of existence and uniqueness of initial and boundary value problems for ordinary and partial differential equations as well as difference equations. Over the years, Opial’s type integral inequalities have been receiving non-diminishing attention. In this article, we establish some new Opial’s type integral inequalities which in special cases yield some existing results of Rozanova, Agarwal-Pang, Pachpatte, Das and Agarwal-Sheng, and provide new and handy tools to qualitative as well as quantitative analysis of solutions to differential equations.-
dc.languageeng-
dc.publisherSpringer-
dc.relation.ispartofMathematics Without Boundaries: Surveys In Pure Mathematics-
dc.subjectOpial-type inequalities-
dc.titleAdvances in Opial's Type Integral Inequalities-
dc.typeBook_Chapter-
dc.identifier.emailCheung, WS: wscheung@hku.hk-
dc.identifier.authorityCheung, WS=rp00678-
dc.identifier.doi10.1007/978-1-4939-1106-6_25-
dc.identifier.hkuros243654-
dc.identifier.spage749-
dc.identifier.epage778-
dc.publisher.placeNew York, NY-

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