Dirichlet boundary value problem for differential equation with phi-Laplacian and state-dependent impulses

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F17%3A73580495" target="_blank" >RIV/61989592:15310/17:73580495 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1515/ms-2016-0283" target="_blank" >http://dx.doi.org/10.1515/ms-2016-0283</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/ms-2016-0283" target="_blank" >10.1515/ms-2016-0283</a>

Result language
angličtina
Original language name
Dirichlet boundary value problem for differential equation with phi-Laplacian and state-dependent impulses
Original language description
The paper deals with the boundary value problem for differential equation with phi-Laplacian and state-dependent impulses of the form (phi(z'(t)))' = f(t,z(t),z'(t)) for a.e. t in [0,T], z'(t+)-z'(t-) = M(z(t),z'(t-)), if t= gamma(z(t)), z(0) = z(T) = 0. Here, T > 0, phi : R->R is an increasing homeomorphism, phi(R) = R, phi(0) = 0, f : [0,T]xR^2 -> R satisfies Caratheodory conditions, M : R->R is continuous and gamma : R-> (0,T) is continuous. Sufficient conditions for the existence of at least one solution to this problem having no pulsation behaviour are provided.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA14-06958S" target="_blank" >GA14-06958S: Singularities and impulses in boundary value problems for nonlinear ordinary differential equations</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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