Some existence theorem for solutions of stochastic differential  inclusions with  current velocites

A. Makarova

doi:10.12737/5127

SOME EXISTENCE THEOREM FOR SOLUTIONS OF STOCHASTIC DIFFERENTIAL INCLUSIONS WITH CURRENT VELOCITES Some existence theorem for solutions of stochastic differential inclusions with current velocites

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Published in Actual directions of scientific researches of the XXI century: theory and practice · Volume 2, Issue 4, p. 2 · Pages 112–115 · Rubric: Section: Differential and Integral Equations

DOI: https://doi.org/10.12737/5127

Received: 29.08.2014 Accepted: 03.10.2014 Published: 03.10.2014 Language of publication: RUS

Authors

A. Makarova

ABSTRACT

This publication covers two theorems on the existence of solutions of differential inclusions with the current velocity in which the right side and turn to the current velocity , and the right side for the inclusion of the quadratic derivative average are multivalued. Two cases are considered : • when , among other conditions , the right- turn for the quadratic derivative average is an upper semicontinuous • when , among other conditions , the right- turn for the quadratic derivative average is lower semicontinuous.

KEYWORDS

Mean derivatives, stochastic differential inclusions with current velocity

1. Gliklikh Yu.E. Global and Stochastic Analysis with Applications to Mathematical Physics / Yu.E. Gliklikh.- London: Springer-Verlag, 2011.- 460 p.

2. Azarina S.V. Diferential inclusions with mean derivatives /S.V. Azarina and Yu.E.Gliklikh// Dynamic Systems and Applications.- 2007.- Vol. 16, No. 1.- P. 49-71 3. Gliklikh Yu.E., Makarova A.V. Belgorod State University Scientiﬁc bulletin Mathematics.Physics.-2012.No.17(136).ISSU 28.-P. 5-16

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GOST

Makarova A. Some existence theorem for solutions of stochastic differential inclusions with current velocites // Actual directions of scientific researches of the XXI century: theory and practice. 2014. no. 4. pp. 112-115. DOI: https://doi.org/10.12737/5127. (Date of access 23.09.2026).

MLA

A. Makarova. "Some existence theorem for solutions of stochastic differential inclusions with current velocites." Actual directions of scientific researches of the XXI century: theory and practice 2.4 (2014): 112-115. DOI: https://doi.org/10.12737/5127.

APA

Makarova A. (2014). Some existence theorem for solutions of stochastic differential inclusions with current velocites. Actual directions of scientific researches of the XXI century: theory and practice, 2(4), 112-115. https://doi.org/10.12737/5127

Chicago

A. Makarova. "Some existence theorem for solutions of stochastic differential inclusions with current velocites." Actual directions of scientific researches of the XXI century: theory and practice 2, no. 4 (2014): 112-115. https://doi.org/10.12737/5127.

WIKI

{{cite journal | author = Makarova A. | title = Some existence theorem for solutions of stochastic differential inclusions with current velocites | journal = Actual directions of scientific researches of the XXI century: theory and practice | year = 2014 | volume = 2 | issue = 4 | pages = 112-115 | doi = 10.12737/5127 }}

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SOME EXISTENCE THEOREM FOR SOLUTIONS OF STOCHASTIC DIFFERENTIAL INCLUSIONS WITH CURRENT VELOCITES Some existence theorem for solutions of stochastic differential inclusions with current velocites

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