Infinite Interval Problems for Differential, Difference and Integral Equations by R.P. AgarwalInfinite Interval Problems for Differential, Difference and Integral Equations by R.P. Agarwal

Infinite Interval Problems for Differential, Difference and Integral Equations

byR.P. Agarwal, Donal O'Regan

Paperback | September 8, 2012

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Infinite interval problems abound in nature and yet until now there has been no book dealing with such problems. The main reason for this seems to be that until the 1970's for the infinite interval problem all the theoretical results available required rather technical hypotheses and were applicable only to narrowly defined classes of problems. Thus scientists mainly offer<_d20_and20_used20_special20_devices20_to20_construct20_the20_numerical20_solution20_assuming20_tacitly20_the20_existence20_of20_a20_solution.20_in20_recent20_years20_a20_mixture20_of20_classical20_analysis20_and20_modern20_fixed20_point20_theory20_has20_been20_employed20_to20_study20_the20_existence20_of20_solutions20_to20_infinite20_interval20_problems.20_this20_has20_resulted20_in20_widely20_applicable20_results.20_this20_monograph20_is20_a20_cumulation20_mainly20_of20_the20_authors27_27_20_research20_over20_a20_period20_of20_more20_than20_ten20_years20_and20_offers20_easily20_verifiable20_existence20_criteria20_for20_differential2c_20_difference20_and20_integral20_equations20_over20_the20_infinite20_interval.20_an20_important20_feature20_of20_this20_monograph20_is20_that20_we20_illustrate20_almost20_all20_the20_results20_with20_examples.20_the20_plan20_of20_this20_monograph20_is20_as20_follows.20_in20_chapter20_120_we20_present20_the20_existence20_theory20_for20_second20_order20_boundary20_value20_problems20_on20_infinite20_intervals.20_we20_begin20_with20_several20_examples20_which20_model20_real20_world20_phenomc2ad_20_ena.20_a20_brief20_history20_of20_the20_infinite20_interval20_problem20_is20_also20_included.20_we20_then20_present20_general20_existence20_results20_for20_several20_different20_types20_of20_boundary20_value20_problems.20_here20_we20_note20_that20_for20_the20_infinite20_interval20_problem20_only20_two20_major20_approaches20_are20_available20_in20_the20_literature. and="" used="" special="" devices="" to="" construct="" the="" numerical="" solution="" assuming="" tacitly="" existence="" of="" a="" solution.="" in="" recent="" years="" mixture="" classical="" analysis="" modern="" fixed="" point="" theory="" has="" been="" employed="" study="" solutions="" infinite="" interval="" problems.="" this="" resulted="" widely="" applicable="" results.="" monograph="" is="" cumulation="" mainly="" _authors27_27_="" research="" over="" period="" more="" than="" ten="" offers="" easily="" verifiable="" criteria="" for="" _differential2c_="" difference="" integral="" equations="" interval.="" an="" important="" feature="" that="" we="" illustrate="" almost="" all="" results="" with="" examples.="" plan="" as="" follows.="" chapter="" 1="" present="" second="" order="" boundary="" value="" problems="" on="" intervals.="" begin="" several="" examples="" which="" model="" real="" world="" _phenomc2ad_="" ena.="" brief="" history="" problem="" also="" included.="" then="" general="" different="" types="" here="" note="" only="" two="" major="" approaches="" are="" available="">
Title:Infinite Interval Problems for Differential, Difference and Integral EquationsFormat:PaperbackDimensions:341 pagesPublished:September 8, 2012Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9401038341

ISBN - 13:9789401038348

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Table of Contents

Preface. 1. Second Order Boundary Value Problems. 2. Higher Order Boundary Value Problems. 3. Continuous Systems. 4. Integral Equations. 5. Discrete Systems. 6. Equations in Banach Spaces. 7. Multivalued Equations. 8. Equations on Time Scales. Subject Index.

Editorial Reviews

'the monograph is well written and will be of interest for mathematicians and graduate students with research interest in applied mathematics.' Zentral Blatt Mathematik, 988 (2002)