Abstract
AbstractIn this paper, we formulate a criterion for relative compactness in the space of regulated functions on an unbounded interval and not necessarily bounded. Next we construct measure of noncompactness in this space and investigate its properties. The presented measure is simpler and more convenient to use than all known so far in space of regulated functions on an unbounded interval. Moreover, we show the applicability of the measure of noncompactness in proving the existence of solutions of some Volterra type integral equation.
Publisher
Springer Science and Business Media LLC
Subject
Control and Optimization,Analysis,Algebra and Number Theory
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