Results 31 to 40 of about 18,029 (270)
Non-classical periodic boundary value problems with impulsive conditions
Journal of New Results in Science, 2023 This study investigates some spectral properties of a new type of periodic Sturm-Liouville problem. The problem under consideration differs from the classical ones in that the differential equation is given on two disjoint segments that have a common end,
Sevda Nur Öztürk +2 more
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Estimates for Dirichlet Eigenfunctions [PDF]
Journal of the London Mathematical Society, 1999 Estimates for the Dirichlet eigenfunctions near the boundary of an open, bounded set in euclidean space are obtained. It is assumed that the boundary satisfies a uniform capacitary density condition.
van den Berg, M, Bolthausen, E
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Karpatsʹkì Matematičnì Publìkacìï, 2019 In this article we investigate a problem with nonlocal boundary conditions which are multipoint perturbations of mixed boundary conditions in the unit square $G$ using the Fourier method. The properties of a generalized transformation operator $R: L_2(G)
Ya.O. Baranetskij +3 more
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Stochastic Duality and Eigenfunctions [PDF]
, 2019 We start from the observation that, anytime two Markov generators share an eigenvalue, the function constructed from the product of the two eigenfunctions associated to this common eigenvalue is a duality function. We push further this observation and provide a full characterization of duality relations in terms of spectral decompositions of the ...
Redig F., Sau F.
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Axioms, 2022 In this paper, we study the eigenfunctions to one nonlocal second-order differential operator with double involution. We give an explicit form of the eigenfunctions to the boundary value problem in the unit ball with Dirichlet conditions on the boundary.
Batirkhan Turmetov, Valery Karachik
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On the squared eigenfunction symmetry of the Toda lattice hierarchy [PDF]
J. Math. Phys. 54, 023511 (2013), 2012 The squared eigenfunction symmetry for the Toda lattice hierarchy is explicitly constructed in the form of the Kronecker product of the vector eigenfunction and the vector adjoint eigenfunction, which can be viewed as the generating function for the additional symmetries when the eigenfunction and the adjoint eigenfunction are the wave function and the
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Decay of eigenfunctions of elliptic PDE's, II [PDF]
Advances in Mathematics, 2015 We study exponential decay of eigenfunctions of self-adjoint higher order elliptic operators on $\R^d$. We show that the possible critical decay rates are determined algebraically. In addition we show absence of super-exponentially decaying eigenfunctions and a refined exponential upper bound.
Herbst, Ira, Skibsted, Erik
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Karpatsʹkì Matematičnì Publìkacìï, 2018 In this article, we investigate a problem with nonlocal boundary conditions which are perturbations of antiperiodical conditions in bounded $m$-dimensional parallelepiped using Fourier method. We describe properties of a transformation operator $R:L_2(G)
Ya.O. Baranetskij +3 more
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Физика волновых процессов и радиотехнические системы, 2023 The article is devoted to the analysis of electrodynamic properties elliptical frame structure. Taking into account double symmetry internal problem of electrodynamics for the structure under consideration in the framework of the thin-wire approximation ...
Dmitry P. Tabakov, Andrey G. Mayorov
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Eigenvalue-eigenfunction problem for Steklov's smoothing operator and differential-difference equations of mixed type [PDF]
Opuscula Mathematica, 2013 It is shown that any \(\mu \in \mathbb{C}\) is an infinite multiplicity eigenvalue of the Steklov smoothing operator \(S_h\) acting on the space \(L^1_{loc}(\mathbb{R})\).
Serguei I. Iakovlev, Valentina Iakovleva
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