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

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

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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...