Theory of Set Differential Equations in Metric Spaces

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An Introduction to Ordinary Differential Equations (2008, background): “Other types of differential equations which have made a significant impact in mathematics and are being continuously studied are functional differential equations [8, 13, 19], impulsive differential equations [27], differential equations in abstract spaces [16, 26], set and multivalued differential ”
Fixed point theorems in partially ordered metric spaces and applications (2006, methodology): “To fully utilize the power of the present type of fixed point theorem, it is necessary to apply them to the problems of differential equations in semi-linear metric spaces, where only a partial linear structure is available, such as, for example, fuzzy and set differential equations, and discontinuo”