منابع مشابه
Generalized Helices and Singular Points
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In this paper, linear second-order differential equations of Sturm-Liouville type having a finite number of singularities and turning points in a finite interval are investigated. First, we obtain the dual equations associated with the Sturm-Liouville equation. Then, we prove the uniqueness theorem for the solutions of dual initial value problems.
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• Introduction 1. Example: rotationally symmetric eigenfunctions on R 2. Example: translation-equivariant eigenfunctions on H 3. Beginning of construction of solutions 4. K(x, t) is bounded 5. End of construction of solutions 6. Asymptotics of solutions 7. Appendix: asymptotic expansions • Bibliography According to [Erdélyi 1956], Thomé [1] found that differential equations with finite rank irr...
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ly isomorphic to (C×)r−1 × (C), and hence also to (S1)r−1 × (R), where r = |J | is the number of branches and k = δ(C)− r+1 = 1 2 (μ(C) + 1 − r). The construction of the Jacobian variety J(C̃) of the non-singular curve C̃ in the large is standard in algebraic geometry. There is also a notion of Jacobian of a singular curve C , defined e.g. in [85], which, like the other, is an abelian group. Ther...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1969
ISSN: 0022-247X
DOI: 10.1016/0022-247x(69)90128-0