Keywords
- Finite Number
- Eigenfunction Expansion
- Double Series
- Type Boundary Condition
- Expansion Theorem
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References
D. Hilbert, "Grundzüge Einer Allgemeinen Theorie der Linearen Integralgleichungen," Chelsea, New York, 1953.
A. C. Dixon, Harmonic expansions of functions of two variables, Proc. London Math. Soc. (2) 5 (1907), 411–478.
M. Faierman, An eigenfunction expansion for a two-parameter system of ordinary differential equations of the second order, (to appear).
F. V. Atkinson, "Discrete and Continuous Boundary Problems," Academic, New York, 1964.
E. L. Ince, "Ordinary Differential Equations," Dover, New York, 1956.
H. Poincaré, Sur les résidus des intégrales doubles, Acta Math. 9 (1887), 321–380.
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© 1974 Springer-Verlag
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Faierman, M. (1974). The expansion theorem in multi-parameter sturm-liouville theory. In: Sleeman, B.D., Michael, I.M. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 415. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065520
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DOI: https://doi.org/10.1007/BFb0065520
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06959-1
Online ISBN: 978-3-540-37264-6
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