Differential equations and integral inequalities with ¿maximum¿

Differential equations and integral inequalities with ¿maximum¿

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The main aim of the book is study of integral inequalities and differential equations in the special case when the value of the unknown function is involved not only at the present time but also its maximal value on a past time interval is presented. Initially several types of integral inequalities with "maximum" for continuous and piecewise continuous functions are solved. This helps us to build the mathematical apparatus for qualitative investigation of the behavior of the solutions of differential equations with "maximum". Several types of sufficient conditions for uniqueness, boundedness, ...