Fixed point problem associated with state-dependent impulsive boundary value problems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F15%3A33154556" target="_blank" >RIV/61989592:15310/15:33154556 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1063/1.4912444" target="_blank" >http://dx.doi.org/10.1063/1.4912444</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.4912444" target="_blank" >10.1063/1.4912444</a>

Result language
angličtina
Original language name
Fixed point problem associated with state-dependent impulsive boundary value problems
Original language description
We investigate a fixed point problem in the Sobolev space (W1,oo([a,b];Rn))^p+1 which is connected to the boundary value problem z'(t)=f(t,z(t)),a.e.t?[a,b]SUBSET OF OR EQUAL TO R, ?(z)=c0, with the state-dependent impulses z(t+)-z(t-)=Ji(t,z(t-)),i=1,MIDLINE HORIZONTAL ELLIPSIS,p, where the impulse instants t?(a, b) are determined as solutions of the equations t=?i(z(t-)),i=1,MIDLINE HORIZONTAL ELLIPSIS,p. We assume that n, p?N, c0?Rn, the vector function f satisfies the Carathéodory conditions on [a,b]xRn, the impulse functions Ji, i = 1,MIDLINE HORIZONTAL ELLIPSIS, p, are continuous on [a,b]xR^n, and the barrier functions ?i,i=1,MIDLINE HORIZONTAL ELLIPSIS,p, are continuous on R^n. The operator ? is an arbitrary linear and bounded operator on the space of left-continuous regulated (i.e. having finite one-sided limits at each point) on [a, b] vector valued functions and is represented by the Kurzweil-Stieltjes integral. Provided the data functions f and J_i are bounded, transversali
Czech name
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Czech description
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Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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