Discrete nonselfadjoint second-order two-point problems at resonance

DOI10.1007/S00009-019-1329-7zbMath1412.39018OpenAlexW2922338919WikidataQ128297636 ScholiaQ128297636MaRDI QIDQ2632562

Man Xu, Dongliang Yan, Ru Yun Ma

Publication date: 14 May 2019

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-019-1329-7

zbMATH Keywords

Brouwer degreeprincipal eigenvalueresonanceLandesman-Lazer conditionnonselfadjoint linear operator

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Green's functions for ordinary differential equations (34B27) Additive difference equations (39A10) Difference operators (39A70) Linear boundary value problems for ordinary differential equations (34B05) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Cites Work

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• Eigenvalues of discrete Sturm-Liouville problems with eigenparameter dependent boundary conditions
• Spectrum of discrete second-order difference operator with sign-changing weight and its applications
• Discrete and continuous boundary problems
• Nonselfadjoint resonance problems with unbounded perturbations
• Second-order Sturm-Liouville difference equations and orthogonal polynomials
• A Resonance Problem in Which the Nonlinearity May Grow Linearly

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