The Green’s Function of the Sturm-Liouville operator acting on graphs [PDF]
, 2007 Given the Green’s function of a Sturm-Liouville operator defined on a graph. Form a new graph by identifying vertices. The Green’s function of the Sturm-Liouville operator defined on the new graph is derived.
Coppenbarger, Matthew
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On the inverse problem of vibro-acoustography. [PDF]
Meccanica, 2023 Kaltenbacher B.
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Positive solutions for the one-dimensional Sturm-Liouville superlinear p-Laplacian problem
Electronic Journal of Differential Equations, 2018 We prove the existence of positive classical solutions for the p-Laplacian problem $$\displaylines{ -(r(t)\phi (u'))'=f(t,u),\quad t\in (0,1), \cr au(0)-b\phi ^{-1}(r(0))u'(0)=0,\ cu(1)+d\phi ^{-1}(r(1))u'(1)=0, }$$ where $\phi (s)=|s|^{p-2}s$, $p ...
Khanh Duc Chu, Dang Dinh Hai
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A partial inverse problem for non-self-adjoint Sturm–Liouville operators with a constant delay
In this paper we study a partial inverse spectral problem for non-self-adjoint Sturm–Liouville operators with a constant delay and show that subspectra of two boundary value problems with one common boundary condition are sufficient to determine the ...
Wang, Yu Ping;Keskin, Baki;Shieh, Chung-Tsun
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Radiative flow of non Newtonian nanofluids within inclined porous enclosures with time fractional derivative. [PDF]
Sci Rep, 2021 Arafa AAM, Rashed ZZ, Ahmed SE.
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Positive solutions for multipoint boundary-value problem with parameters
Electronic Journal of Differential Equations, 2008 In this paper, we study a generalized Sturm-Liouville boundary-value problems with two positive parameters. By constructing a completely continuous operator and combining fixed point index theorem and some properties of the eigenvalues of linear ...
Zhongli Wei, Juanjuan Xu
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Dynamical behaviours and stability analysis of a generalized fractional model with a real case study. [PDF]
J Adv Res, 2023 Baleanu D +5 more
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Half inverse problems for the impulsive operator with eigenvalue-dependent boundary conditions
Electronic Journal of Differential Equations, 2017 In this work we study a Sturm-Liouville operator with a piece-wise continuous coefficient and a spectral parameter in the boundary condition. We show that if the potential function is ascertained in $(\pi/2, \pi)$ then one spectrum suffices to ...
Yasser Khalili +2 more
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On Hochstadt-Lieberman Theorem For Sturm-Liouville Operators
, 2011 The inverse spectral problem of the Sturm-Liouville operator Lq = -d2/dx2 +q(x) is considered, where q(x) is an integrable function on (0,1).
Shieh, Chung-tsun; Buterin, S. A.; Ignatiev, Mikhail +1 more
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Determinism, well-posedness, and applications of the ultrahyperbolic wave equation in spacekime. [PDF]
Partial Differ Equ Appl Math, 2022 Wang Y, Shen Y, Deng D, Dinov ID.
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