The basis property of generalized Jacobian elliptic functions
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Publication:479557
DOI10.3934/cpaa.2014.13.2675zbMath1304.33011arXiv1310.0597OpenAlexW1977370061MaRDI QIDQ479557
Publication date: 5 December 2014
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1310.0597
Elliptic functions and integrals (33E05) Completeness of sets of functions in one variable harmonic analysis (42A65)
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Cites Work
- Remarks on generalized trigonometric functions
- Eigenvalues, embeddings and generalised trigonometric functions
- Generalized Jacobian elliptic functions and their application to bifurcation problems associated with \(p\)-Laplacian
- Properties of generalized trigonometric functions
- A homotopic deformation along \(p\) of a Leray-Schauder degree result and existence for \((| u'| ^{p-2}u')'+f(t,u)=0\), \(u(0)=u(T)=0\), \(p>1\)
- Some remarkable sine and cosine functions
- On the closed solution to some nonhomogeneous eigenvalue problem with \(p\)-Laplacian
- Uniqueness of positive solutions of quasilinear differential equations
- Basis properties of eigenfunctions of the 𝑝-Laplacian
- Approximation properties of the q -sine bases
- Interpolation zwischen den Klassen 𝔖p von Operatoren in Hilberträumen
- Analytic Inequalities
- Stone's theorem and completeness of orthogonal systems
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