Differential and Integral Inequalities

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The book presents an English translation of a significant work on differential and integral inequalities, originally published in 1964. It incorporates extensive new research, particularly in existence theory, nearly doubling the bibliography. Key topics include Volterra integral equations in Banach space and differential inequalities, with a focus on the line method for parabolic differential equations. The author also addresses the Cauchy problem and includes a new chapter on elliptic differential equations, responding to reader requests and highlighting recent advancements in inequality methods.