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

In: Mathematica Slovaca, vol. 67, no. 2
Jan Tomeček

Details:

Year, pages: 2017, 483 - 500
Keywords:
$\phi$-Laplacian, state-dependent impulse, ordinary differential equation, second order, Dirichlet boundary value problem, existence result
About article:
The paper deals with the boundary value problem for differential equation with $φ$-Laplacian and state-dependent impulses of the form \begin{align*} &(φ(z'(t)))' = f(t,z(t),z'(t))  \forae t\in [0,T] \subset\er, &\triangle z'(t) = M(z(t),z'(t-)),   t=γ(z(t)), amp;&z(0) = z(T) = 0. \end{align*} Here, $T > 0$, $φ : \er \to \er$ is an increasing homeomorphism, $φ(\er) = \er$, $φ(0) = 0$, $f: [0,T]×\er2 \to \er$ satisfies Carath
How to cite:
ISO 690:
Tomeček, J. 2017. Dirichlet boundary value problem for differential equation with $φ$-Laplacian and state-dependent impulses. In Mathematica Slovaca, vol. 67, no.2, pp. 483-500. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0283

APA:
Tomeček, J. (2017). Dirichlet boundary value problem for differential equation with $φ$-Laplacian and state-dependent impulses. Mathematica Slovaca, 67(2), 483-500. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0283
About edition:
Published: 25. 4. 2017