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Autor(en): 
  • Józef Banas
  • Mohammad Mursaleen
  • Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations 
     

    (Buch)
    Dieser Artikel gilt, aufgrund seiner Grösse, beim Versand als 3 Artikel!


    Übersicht

    Auf mobile öffnen
     
    Lieferstatus:   Auf Bestellung (Lieferzeit unbekannt)
    Veröffentlichung:  September 2016  
    Genre:  Schulbücher 
     
    Analysis / B / Calculus & mathematical analysis / Differential calculus & equations / Differential equations / Functional Analysis / Functional analysis & transforms / Integral calculus & equations / Integral Equations / Mathematics and Statistics / Operator Theory / Ordinary Differential Equations / Partial Differential Equations / Sequences (Mathematics) / Sequences, Series, Summability
    ISBN:  9788132229667 
    EAN-Code: 
    9788132229667 
    Verlag:  Springer Nature EN 
    Einband:  Kartoniert  
    Sprache:  English  
    Dimensionen:  H 235 mm / B 155 mm / D  
    Gewicht:  4978 gr 
    Seiten:  315 
    Illustration:  XII, 315 p. 
    Zus. Info:  Previously published in hardcover 
    Bewertung: Titel bewerten / Meinung schreiben
    Inhalt:
    This 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.

      



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