2011Unpublished venueRequires access

General Theory

Drumi D. Bainov, Snezhana G. Hristova

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Abstract

Some fundamental concepts and theorems in the qualitative analysis of various types of differential equations with “maxima” will be introduced in this chapter. We will prove some existence results for differential equations with “maxima.” The main characteristic of the considered equations is the presence of maximum of the derivative of the unknown function in the right side of the equation. Both scalar and multidimensional cases are studied.

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What this paper is about

Some fundamental concepts and theorems in the qualitative analysis of various types of differential equations with “maxima” will be introduced in this chapter. We will prove some existence results for differential equations with “maxima.” The main characteristic of the considered equations is the presence of maximum of the derivative of the unknown function in the right side of the equation. Both scalar and multidimensional cases are studied.

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Available abstract

Some fundamental concepts and theorems in the qualitative analysis of various types of differential equations with “maxima” will be introduced in this chapter. We will prove some existence results for differential equations with “maxima.” The main characteristic of the considered equations is the presence of maximum of the derivative of the unknown function in the right side of the equation. Both scalar and multidimensional cases are studied.

Key concepts: Computer science

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