Some problems concerning the equivalences of two systems of differential equations

Švec, Marko

doi:10.1007/bfb0076065

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( / L( T )M(t) Dr) D S Q(t S) ^ K M(t) T G [T 0 T)2

Exp (J L(t)ix(t) Drv T E [To T)1

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1993

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“…Proof, (i) Suppose that x is a solution of (1). Then (by (2), (3), (11) and 12) we have Operator F is defined for every * G K because of (15), and Fx £ X. We shall show that h > 0 can be chosen such that F is a contraction.…”

Section: ( / L( T )M(t) Dr) D S Q(t S) ^ K M(t) T G [T 0 T)mentioning

confidence: 94%

“…It can be easily seen that (11) where the last inequality is a consequence of (18). By the application of Theorem 1 we conclude that statements (i) and (ii) are valid.…”

Section: Exp (J L(t)ix(t) Drv T E [To T)mentioning

confidence: 99%

“…We shall show that h > 0 can be chosen such that F is a contraction. Recently, asymptotic equivalence of two systems of functional differential equations has been investigated by M. Svec [11].…”

Section: ( / L( T )M(t) Dr) D S Q(t S) ^ K M(t) T G [T 0 T)mentioning

confidence: 99%

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On the limits of solutions of functional differential equations

Pituk¹

1993

Math. Bohem.

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Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use. This document has been digitized, optimized for electronic delivery and stamped with digital signature within the project DML-CZ: The Czech Digital Mathematics Library http://dml.cz 118 (1993) MATHEMATICA BOHEMICA No. l ř 5^66 ON THE LIMITS OF SOLUTIONS OF FUNCTIONAL DIFFERENTIAL EQUATIONS

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Section: ( / L( T )M(t) Dr) D S Q(t S) ^ K M(t) T G [T 0 T)mentioning

confidence: 94%

“…It can be easily seen that (11) where the last inequality is a consequence of (18). By the application of Theorem 1 we conclude that statements (i) and (ii) are valid.…”

Section: Exp (J L(t)ix(t) Drv T E [To T)mentioning

confidence: 99%

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On the limits of solutions of functional differential equations

Pituk¹

1993

Math. Bohem.

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Some problems concerning the equivalences of two systems of differential equations

Cited by 1 publication

References 2 publications

On the limits of solutions of functional differential equations

On the limits of solutions of functional differential equations

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