Volterra inequalities in function spaces

E. S. Zhukovskii

Sbornik. Mathematics, Tome 195 (2004) no. 9, pp. 1235-1251

Résumé

We present results on local solubility, extendability of solutions, and the existence of upper and lower solutions of equations with monotonic generalized Volterra operators in Banach function spaces. These results are analogous to the well-known theorems on the integral and differential inequality and can be used for estimating solutions of various functional-differential equations.

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