On the Existence and Stability of Boundary Value Problem for Differential Equation with Hilfer-Katugampola Fractional Derivative
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DOI: 10.1007/s10473-019-0608-5
Abstract: In this paper, we discuss the existence, uniqueness and stability of boundary value problem for differential equation with Hilfer-Katugampola fractional derivative. The arguments are based upon Schaefer’s fixed point theorem, Banach contraction principle and Ulam… read more here.
Keywords: value problem; problem differential; stability boundary; differential equation ... See more keywords
The inverse problem for differential pencils on a star-shaped graph with mixed spectral data
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DOI: 10.1007/s11425-018-9485-3
Abstract: The partial inverse problem for differential pencils on a star-shaped graph is studied from mixed spectral data. More precisely, we show that if the potentials on all edges on the star-shaped graph but one are… read more here.
Keywords: shaped graph; differential pencils; star shaped; inverse problem ... See more keywords
Inverse problem for the differential pencil on an arbitrary graph with partial information given on the coefficients
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DOI: 10.1007/s13324-018-0244-6
Abstract: In this paper, a partial inverse problem for the quadratic Sturm–Liouville pencil on a geometrical graph of arbitrary structure is studied. We suppose that the coefficients of differential expressions are known a priori on all… read more here.
Keywords: inverse problem; problem; differential pencil; graph ... See more keywords
Dirichlet boundary value problem for differential equation with ϕ-Laplacian and state-dependent impulses
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DOI: 10.1515/ms-2016-0283
Abstract: Abstract The paper deals with the boundary value problem for differential equation with ϕ-Laplacian and state-dependent impulses of the form ϕ(z′(t))′=f(t,z(t),z′(t)) for a.e. t∈[0,T]⊂R,Δz′(t)=M(z(t),z′(t−)),t=γ(z(t)),z(0)=z(T)=0. $$\begin{array}{} \left(\phi(z'(t))\right)' = f(t,z(t),z'(t))\qquad \text{ for a.e. } t\in [0,T]\subset\mathbb R,\\ \Delta z'(t)… read more here.
Keywords: differential equation; problem; value problem; boundary value ... See more keywords