Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations

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.​
About the Author:

JÓZEF BANAŚ is professor of mathematics and chair at the Department of Mathematics in Rzeszow University of Technology, Poland. He is on the editorial committee of many journals of international repute: Commentationes Mathematicae (Polish Mathematical Society), Abstract and Applied Analysis (Hindawi Corporation), Journal of Inequalities and Applications (SpringerOpen), World Scientific Journal (Hindawi Corporation), Mathematica Applicanda (section: Mathematical Economics) and many others. Prof. Banaś is also editor-in-chief of the Journal of Mathematics and Applications, Rzeszow. He has over 140 published research papers to his credit in journals such as Journal of Integral Equations and Applications, Rocky Mountain Journal of Mathematics, Proceedings of AMS, Journal of Mathematical Analysis and Applications, Applied Mathematics and Computation, Bulletin of the London Mathematical Society, Nonlinear Analysis, Abstract and Applied Analysis, among others. Prof. Banaś is also coauthor of two books: Measures of Noncompactness in Banach Spaces, Lecture Notes in Pure and Applied Mathematics 60, Marcel Dekker, New York and Basel, 1980 (with K. Goebel) and Bounded Variation and Around, De Gruyter Series in Nonlinear Analysis and Applications 17, Walter de Gruyter, Berlin/Boston 2014 (with J. Appell and N. Merentes). His fields of interest include geometry of Banac

M. MURSALEEN is professor of mathematics at Aligarh Muslim University, Aligarh. Earlier, he worked as professor of mathematics at King Abdulaziz University, Jeddah, Saudi Arabia, during 2004-2006. An active researcher, Prof. Mursaleen has authored two books and five book chapters, in addition to his contributions to 190 research papers to various international journals such as Proc. Amer. Math. Soc., Quarterly J. Math. (Oxford), Studia Math., Information Sciences, and Chaos, Solitons & Fractals to name a few. Prof. Mursaleen is reviewer for Mathematical Reviews (USA) since 1982, as well as referee of about 100 scientific journals (most of them are SCI/SCI expended journals). He has also guided 12 PhD students so far. He has visited about 16 countries including USA & UK and delivered about 32 talks, He has also participated in joint research work with faculty members of the host institutions. Prof. Mursaleen is member of the editorial board of various scientific journals and has served as member of various international scientific bodies and organizing committees that include International Council of Scientists "Global World Communicator Education and Science". He has worked on a number of joint projects of international collaboration