Infinite System of Differential Equations in Some BK Spaces
Copyright policy )Infinite System of Differential Equations in Some BK Spaces
The first measure of noncompactness was defined by Kuratowski in 1930 and later the Hausdorff measure of noncompactness was introduced in 1957 by Goldenštein et al. These measures of noncompactness have various applications in several areas of analysis, for example, in operator theory, fixed point theory, and in differential and integral equations. In particular, the Hausdorff measure of noncompactness has been extensively used in the characterizations of compact operators between the infinite‐dimensional Banach spaces. In this paper, we present a brief survey on the applications of measures of noncompactness to the theory of infinite system of differential equations in some BK spaces c0, c, ℓp(1 ≤ p ≤ ∞) and n(ϕ).
- Aligarh Muslim University India
- King Abdulaziz University Saudi Arabia
Theory of Banach Spaces and Operators, Measures and integration on abstract linear spaces, Geometry, Hausdorff dimension, Operator (biology), Theory and Applications of Fractional Differential Equations, Mathematical analysis, Biochemistry, Gene, Hausdorff measure, Database, Fixed Point Theorems in Metric Spaces, Differential equation, Hausdorff and packing measures, Point (geometry), QA1-939, FOS: Mathematics, measure of noncompactness, Fixed-point theorem, Mathematical Physics, Banach space, Hausdorff distance, Applied Mathematics, infinite system of differential equations in some \(BK\) spaces, Pure mathematics, Measure (data warehouse), Computer science, Hausdorff space, Chemistry, Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.), Physical Sciences, Repressor, Geometry and Topology, Transcription factor, Mathematics, Nonlinear Systems
Theory of Banach Spaces and Operators, Measures and integration on abstract linear spaces, Geometry, Hausdorff dimension, Operator (biology), Theory and Applications of Fractional Differential Equations, Mathematical analysis, Biochemistry, Gene, Hausdorff measure, Database, Fixed Point Theorems in Metric Spaces, Differential equation, Hausdorff and packing measures, Point (geometry), QA1-939, FOS: Mathematics, measure of noncompactness, Fixed-point theorem, Mathematical Physics, Banach space, Hausdorff distance, Applied Mathematics, infinite system of differential equations in some \(BK\) spaces, Pure mathematics, Measure (data warehouse), Computer science, Hausdorff space, Chemistry, Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.), Physical Sciences, Repressor, Geometry and Topology, Transcription factor, Mathematics, Nonlinear Systems
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