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010   $a81-322-1886-8
024 7 $a10.1007/978-81-322-1886-9
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035   $a(EBL)1783844
035   $a(OCoLC)889264316
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035   $a(PQKBTitleCode)TC0001298418
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035   $a(DE-He213)978-81-322-1886-9
035   $a(PPN)192926691
035   $a(EXLCZ)993710000000202766
100   $a20140718d2014      u|             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aSequence spaces and measures of noncompactness with applications to differential and integral equations$b[electronic resource] /$fby Józef Bana?, Mohammad Mursaleen
205   $a1st ed. 2014.
210  1$aNew Delhi :$cSpringer India :$cImprint: Springer,$d2014.
215   $a1 online resource (323 p.)
300   $aDescription based upon print version of record.
311   $a81-322-1885-X 
320   $aIncludes bibliographical references at the end of each chapters and index.
327   $aChapter 1. Introduction to FK spaces -- Chapter 2. Matrix Transformations -- Chapter 3. Some new sequence spaces of non-absolute type -- Chapter 4. Some non-classical sequence spaces -- Chapter 5. Measures of noncompactness -- Chapter 6. Application to compact matrix operators -- Chapter 7. Applications to infinite systems of differential equations -- Chapter 8. Applications to integral equations.
330   $aThis book deals with the study of sequence spaces, matrix transformations, measures of noncompactness and their various applications. The notion of measure of noncompactness is one of the most useful ones available and has many applications. The book discusses some of the existence results for various types of differential and integral equations with the help of measures of noncompactness; in particular, the Hausdorff measure of noncompactness has been applied to obtain necessary and sufficient conditions for matrix operators between BK spaces to be compact operators. The book consists of eight self-contained chapters. Chapter 1 discusses the theory of FK spaces and Chapter 2 various duals of sequence spaces, which are used to characterize the matrix classes between these sequence spaces (FK and BK spaces) in Chapters 3 and 4. Chapter 5 studies the notion of a measure of noncompactness and its properties. The techniques associated with measures of noncompactness are applied to characterize the compact matrix operators in Chapters 6. In Chapters 7 and 8, some of the existence results are discussed for various types of differential and integral equations, which are obtained with the help of argumentations based on compactness conditions.
606   $aFunctional analysis
606   $aOperator theory
606   $aIntegral equations
606   $aPartial differential equations
606   $aDifferential equations
606   $aSequences (Mathematics)
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139
606   $aIntegral Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12090
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147
606   $aSequences, Series, Summability$3https://scigraph.springernature.com/ontologies/product-market-codes/M1218X
615  0$aFunctional analysis.
615  0$aOperator theory.
615  0$aIntegral equations.
615  0$aPartial differential equations.
615  0$aDifferential equations.
615  0$aSequences (Mathematics).
615 14$aFunctional Analysis.
615 24$aOperator Theory.
615 24$aIntegral Equations.
615 24$aPartial Differential Equations.
615 24$aOrdinary Differential Equations.
615 24$aSequences, Series, Summability.
676   $a515.73
700   $aBana?$b Józef$4aut$4http://id.loc.gov/vocabulary/relators/aut$054270
702   $aMursaleen$b Mohammad$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910299965803321
996   $aSequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations$92544378
997   $aUNINA