On spectral properties of the Sturm-Liouville operator with power nonlinearity
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Publication:1712584
DOI10.1007/s00605-017-1124-0zbMath1420.34099OpenAlexW2765592443MaRDI QIDQ1712584
Publication date: 22 January 2019
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00605-017-1124-0
Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)
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Cites Work
- Unnamed Item
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- Guided electromagnetic waves propagating in a two-layer cylindrical dielectric waveguide with inhomogeneous nonlinear permittivity
- Existence and multiplicity of positive solutions for nonlinear boundary value problems with a parameter
- Exact multiplicity of positive solutions for concave-convex and convex-concave nonlinearities
- Characteristic values associated with a class of nonlinear second-order differential equations
- Existence, multiplicity, and dependence on a parameter for a periodic boundary value problem
- Existence and multiplicity results for nonlinear boundary value problems
- Sturmian theory for second order differential equations with mixed nonlinearities
- Nonlinear double-layer Bragg waveguide: analytical and numerical approaches to investigate waveguiding problem
- Dual variational methods in critical point theory and applications
- On the existence of infinitely many nonperturbative solutions in a transmission eigenvalue problem for nonlinear Helmholtz equation with polynomial nonlinearity
- Multiple positive solutions for a superlinear problem: a topological approach
- Oscillatory properties of solutions to certain two-dimensional systems of non-linear ordinary differential equations
- Integral dispersion equation method to solve a nonlinear boundary eigenvalue problem
- Multiple positive solutions of boundary value problems for systems of nonlinear second-order differential equations
- On the infinitely many nonperturbative solutions in a transmission eigenvalue problem for Maxwell’s equations with cubic nonlinearity
- Solutions to the Helmholtz equation for TE-guided waves in a three-layer structure with Kerr-type nonlinearity
- Propagation of TM waves in a Kerr nonlinear layer
