Weak solutions of functional differential inequalities with first-order partial derivatives

• Published in: Journal of inequalities and applications Vol. 2011; no. 1; pp. 1 - 20
• Main Author: Kamont, Zdzisław
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 22.06.2011; Springer Nature B.V; BioMed Central Ltd; SpringerOpen
• Subjects: Analysis; Applications of Mathematics; Classification; Comparison theorems; Derivatives; Differential equations; Functional differential inequalities; Functions (mathematics); Haar pyramid; Inequalities; Mathematical analysis; Mathematical models; Mathematics; Mathematics and Statistics; Theorems; Weak solutions of initial problems; Haar pyramid; Functional differential inequalities; Comparison theorems; Weak solutions of initial problems

The article deals with functional differential inequalities generated by the Cauchy problem for nonlinear first-order partial functional differential equations. The unknown function is the functional variable in equation and inequalities, and the partial derivatives appear in a classical sense. Theo...