Titlebook: Differential and Integral Inequalities; Wolfgang Walter Book 1970 Springer-Verlag Berlin Heidelberg 1970 Banach Space.Differentialungleich

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Continuous Functions on Compact Setsheir concrete assertions, a methodology for later problems connected with partial differential equa­tions. Chapter III, devoted to hyperbolic differential equations, contains in essence a translation of Chapter I into several dimensions, while the theory of the parabolic equations in Chapter IV is closely connected to the present Chapter II.

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ndeutigkeitsproblemen" was published. The present volume grew out of the response to the demand for an English translation of this book. In the meantime the literature on differential and integral in­ equalities increased greatly. We have tried to incorporate new results as far as possible. As a mat

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Riemann-Stieltjes Integral and Measurehapter, this problem leads to Volterra integral equations in two variables which can be handled largely as in the one-dimensional case; even consideration of such integral equations in an arbitrary number . of independent variables produces no new difficulties. A significant part of the present chapter is devoted to the development of this theory.

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https://doi.org/10.1007/978-1-4899-4558-7hod, which puts . equations in the foreground. Then the concept of a classical solution is basic. In this case the differential equations and differential inequalities under consideration must be satisfied at . point (and not just almost everywhere).

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