Results 71 to 80 of about 359,042 (221)
Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.ABSTRACT We construct Lax pairs for the recently (2023) introduced integrable PDE systems known as the BKM equations. As many known and previously studied integrable systems are special cases of the BKM systems, our construction provides Lax pairs for many integrable hierarchies, including previously studied ones such as Camassa–Holm, Dullin–Gottwald ...
Andrey Yu. Konyaev, Vladimir S. Matveev
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Discrete Dynamics in Nature and Society, 2012 We study the nonlinear nonhomogeneous n-point generalized Sturm-Liouville fourth-order p-Laplacian boundary value problem by using Leray-Schauder nonlinear alternative and Leggett-Williams fixed-point theorem.
Jian Liu, Zengqin Zhao
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Uncertain fractional forward difference equations for Riemann–Liouville type
Advances in Difference Equations, 2019 To model complex systems with discrete-time features and memory effects in the uncertain environment, a definition of an uncertain fractional forward difference equation with Riemann–Liouville-like forward difference is introduced.
Qinyun Lu, Yuanguo Zhu, Ziqiang Lu
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On the Finite Orthogonality of q-Pseudo-Jacobi Polynomials
Mathematics, 2020 Using the Sturm–Liouville theory in q-difference spaces, we prove the finite orthogonality of q-Pseudo Jacobi polynomials. Their norm square values are then explicitly computed by means of the Favard theorem.
Mohammad Masjed-Jamei +3 more
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Uniqueness problem for accretive Schrödinger operators with complex singular coefficients
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract This paper studies the uniqueness problem for the one‐dimensional Schrödinger operator associated with the formal differential expression l[u]=−u′′+qu+i[(ru)′+ru′]$l[u] =-u^{\prime \prime }+qu + i[(ru)^{\prime }+ru^{\prime }] $ in the complex Hilbert space L2(R)$L^{2}(\mathbb {R})$.
Vladimir Mikhailets, Volodymyr Molyboga
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On Disconjugacy for Sturm-Liouville Difference Equations
, 1996 We derive a Reid roundabout Theorem for Sturm-liouville Difference Equations of higher order by applying general results on linear Hamiltonian Difference Systems. This theorem gives conditions that are equivalent to the positive definiteness of a certain
Bohner, Martin, Martin Bohner
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A variant of the complex Liouville-Green approximation theorem [PDF]
, 2000 summary:We propose a variant of the classical Liouville-Green approximation theorem for linear complex differential equations of the second order. We obtain rigorous error bounds for the asymptotics at infinity, in the spirit of F. W. J.
Vianello, Marco, Spigler, Renato
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A New Look at the Quantum Liouville Theorem [PDF]
, 2020 We clarify certain confusions in the literature of the density operator in quantum mechanics, and demonstrate that the quantum Liouville theorem has the same form in both the Schrodinger and the Heisenberg pictures.
Leung, P. T., Ni, G. I.
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A note on the singular Sturm-Liouville problem with infinitely many solutions
Electronic Journal of Differential Equations, 2002 We consider the Sturm-Liouville nonlinear boundary-value problem $$ displaylines{ -u''(t) = a(t)f(u(t)), quad 0 < t < 1, cr alpha u(0) - eta u'(0) =0, quad gamma u(1) + delta u'(1) = 0, } $$ where $alpha$, $eta$, $gamma$, $delta geq 0$, $alpha gamma ...
Nickolai Kosmatov
doaj
Existence and uniqueness of solutions for mixed fractional q-difference boundary value problems
Boundary Value Problems, 2019 In this paper, we investigate the existence and uniqueness of solutions for mixed fractional q-difference boundary value problems involving the Riemann–Liouville and the Caputo fractional derivative. By using the Guo–Krasnoselskii fixed point theorem and
Lulu Zhang, Shurong Sun
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