Linear Sturm-Liouville problems with Riemann- Stieltjes integral boundary conditions

• Autorzy: Kong Q. , George T. E. S.

Identyfikatory

DOI

10.7494/OpMath.2018.38.4.557

• Języki publikacji: EN

Abstrakty

EN

We study second-order linear Sturm-Liouville problems involving general homogeneous linear Riemann-Stieltjes integral boundary conditions. Conditions are obtained for the existence of a sequence of positive eigenvalues with consecutive zero counts of the eigenfunctions. Additionally, we find interlacing relationships between the eigenvalues of such Sturm-Liouville problems and those of Sturm-Liouville problems with certain two-point separated boundary conditions.

Słowa kluczowe

EN

nodal solutions; integral boundary value problems; Sturm-Liouville problems; eigenvalues; matching method

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2018
• Tom: Vol. 38, no. 4
• Strony: 557--571
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Kong Q.

• Northern Illinois University Department of Mathematics DeKalb, IL 60115, USA

autor

George T. E. S.

• Carroll University Department of Mathematics Waukesha, WI 53186, USA

Bibliografia

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• [6] L. Kong, Q. Kong, Nodal solutions of second order nonlinear boundary value problems, Math. Proc. Camb. Phil. Soc. 146 (2009), 747-763.
• [7] L. Kong, Q. Kong, J.S.W. Wong, Nodal solutions of multi-point boundary value problems, Nonlinear Anal. 72 (2010), 382-389.
• [8] L. Kong, Q. Kong, M.K. Kwong, J.S.W. Wong, Linear Sturm-Liouville problems with multi-point boundary conditions, Math. Nachr. 286 (2013), 1167-1179.
• [9] Q. Kong, Existence and nonexistence of solutions of second-order nonlinear boundary value problems, Nonlinear Anal. 66 (2007), 2635-2651.
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• [20] B.P. Rynne, Linear, second-order problems with Sturm-Liouville-type multi-point boundary conditions, Electron. J. Differential Equns. 2012 (2012) 146, 1-21.
• [21] B.P. Rynne, Linear and nonlinear, second-order problems with Sturm-Liouville-type, multi-point boundary conditions, Nonlinear Anal. 136 (2016), 195-214.
• [22] X. Xu, Multiple sign-changing solutions for some m-point boundary-value problems, Electronic J. Diff. Eqns. 2004 (2004) 89, 1-14.
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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).