Results 21 to 30 of about 510 (80)
Miskolc Mathematical Notes, 2019 The paper is about investigating the uniform convergence conditions of spectral expansions of continuous functions in terms of root functions of a spectral problem with the same eigenparameter in the second-order differential equation and depending on ...
E. A. Maris, Sertac Goktas
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Inverse eigenvalue problems for a discontinuous Sturm-Liouville operator with two discontinuities
Boundary Value Problems, 2013 In this paper, we consider a discontinuous Sturm-Liouville operator with parameter-dependent boundary conditions and two interior discontinuities. We obtain eigenvalues and eigenfunctions together with their asymptotic approximate formulas. Then, we give
Yalçın Güldü
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Critical sets of nonlinear Sturm-Liouville operators of Ambrosetti-Prodi type
, 2001 The critical set C of the operator F:H^2_D([0,pi]) -> L^2([0,pi]) defined by F(u)=-u''+f(u) is studied. Here X:=H^2_D([0,pi]) stands for the set of functions that satisfy the Dirichlet boundary conditions and whose derivatives are in L^2([0,pi]).
Ambrosetti A +10 more
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The First Regularized Trace of the Sturm-Liouville Operator With Robin Boundary Conditions
Sarajevo Journal of MathematicsThis paper deals with the boundary value problem for the operator Sturm-Liouville type $ D^{2}=D^{2}(h, H, q_{1},q_{2},\tau,\varphi)$ generated by$$-y''(x)+\sum_{i=1}^{2}q_i(x)y(x-i\tau)=\lambda y(x),\,x\in[0, \pi]$$$$y'(0)-hy(0)=0,\, y'(\pi)+Hy(\pi)=0 ...
Nataša Pavlović Komazec, B. Vojvodić
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A remark on the discriminant of Hill's equation and Herglotz functions
, 2014 We establish a link between the basic properties of the discriminant of periodic second-order differential equations and an elementary analysis of Herglotz functions.
Pankrashkin, Konstantin
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The exotic heat-trace asymptotics of a regular-singular operator revisited
, 2013 We discuss the exotic properties of the heat-trace asymptotics for a regular-singular operator with general boundary conditions at the singular end, as observed by Falomir, Muschietti, Pisani and Seeley as well as by Kirsten, Loya and Park.
Vertman, Boris
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Reconstructing Jacobi Matrices from Three Spectra
, 2002 Cut a Jacobi matrix into two pieces by removing the n-th column and n-th row. We give neccessary and sufficient conditions for the spectra of the original matrix plus the spectra of the two submatrices to uniqely determine the original matrix. Our result
B Simon +8 more
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Sums of Nevanlinna Functions and Difierential Equations on Star-Shaped Graphs
, 2009 Additive decompositions of a meromorphic function give rise to quotient representations of a particular form. We raise the question which quotient representations of a given function arise in this way.
V. Pivovarchik, H. Woracek
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, 2019 We study the existence and multiplicity of solutions for a class of impulsive Sturm-Liouville differential equations with nonlinear derivative dependence.
Z. Mehraban, S. Heidarkhani, S. Tersian
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Fractional Sturm-Liouville operators on compact star graphs
Demonstratio MathematicaIn this article, we examine two problems: a fractional Sturm-Liouville boundary value problem on a compact star graph and a fractional Sturm-Liouville transmission problem on a compact metric graph, where the orders αi{\alpha }_{i} of the fractional ...
Mutlu Gökhan, Uğurlu Ekin
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