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Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations
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 vario...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New Delhi :
Springer India : Imprint: Springer,
2014.
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| Edición: | 1st ed. 2014. |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-81-322-1886-9 | ||
| 003 | DE-He213 | ||
| 005 | 20220203121744.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 140718s2014 ii | s |||| 0|eng d | ||
| 020 | |a 9788132218869 |9 978-81-322-1886-9 | ||
| 024 | 7 | |a 10.1007/978-81-322-1886-9 |2 doi | |
| 050 | 4 | |a QA319-329.9 | |
| 072 | 7 | |a PBKF |2 bicssc | |
| 072 | 7 | |a MAT037000 |2 bisacsh | |
| 072 | 7 | |a PBKF |2 thema | |
| 082 | 0 | 4 | |a 515.7 |2 23 |
| 100 | 1 | |a Banaś, Józef. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations |h [electronic resource] / |c by Józef Banaś, Mohammad Mursaleen. |
| 250 | |a 1st ed. 2014. | ||
| 264 | 1 | |a New Delhi : |b Springer India : |b Imprint: Springer, |c 2014. | |
| 300 | |a XII, 315 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | |a Chapter 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. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Functional analysis. | |
| 650 | 0 | |a Operator theory. | |
| 650 | 0 | |a Integral equations. | |
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Sequences (Mathematics). | |
| 650 | 1 | 4 | |a Functional Analysis. |
| 650 | 2 | 4 | |a Operator Theory. |
| 650 | 2 | 4 | |a Integral Equations. |
| 650 | 2 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Sequences, Series, Summability. |
| 700 | 1 | |a Mursaleen, Mohammad. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9788132218876 |
| 776 | 0 | 8 | |i Printed edition: |z 9788132218852 |
| 776 | 0 | 8 | |i Printed edition: |z 9788132229667 |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-81-322-1886-9 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||