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  5. RESEARCH OF K-VALUE OF USUAL DIFFERENTIAL EQUATIONS

RESEARCH OF K-VALUE OF USUAL DIFFERENTIAL EQUATIONS

S.Yu. Leonov
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Properties of K-Value usual differential equations are examined in the article. The theorem of unique existence of Cauchy problem solving for K-Value usual differential equations is proved. General decision of the Cauchy problem is examined for some simplest K-Value differential equations that are used for the design of digital elements in the system on basis of K-Value differential calculation.
Keywords: K-Value usual differential equations, field of directions, isoclinals line, common decision of the Cauchy problem, design of digital elements