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Successive approximation method for quasilinear impulsive differential equations with control

โœ Scribed by M.U. Akhmetov; A. Zafer

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
274 KB
Volume
13
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

We introduce a technique to define successive approximations to solutions of the control problem with implulse actions on surfaces

where tt is a small positive parameter, ~i = Oi + #Ti(X(~i), #), X E R n and Ax(O) := x(O+) --x(O). A sequence of piecewise continuous functions with discontinuities of the first kind that converges to a solution of the above problem is constructed.

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