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A note to the Laplace transformation. (English) Zbl 0703.35040

The author solves the equation \(Lu(x,y)=q(x,y)\) by means of the Laplace and Kummer transforms; here L is the same differential operator as in the preceding review.
Reviewer: J.Appell

MSC:

35G05 Linear higher-order PDEs
35A22 Transform methods (e.g., integral transforms) applied to PDEs

Citations:

Zbl 0703.35039
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References:

[1] Doetsch G.: Handbook of Laplace Transformation. Basel, Birkhauser, 1950 · Zbl 0040.05901
[2] Laitoch M.: To a problem of ortogonal systems with weight. Acta Univ. Palac. 0lom. 3 (1960), 11-28
[3] Laitoch M.: About the solutions of functional equations \(F(\varphi(x)) - F(x)= 1\). Časopis pro pěst. mat. 81 (1956), 420-425. · Zbl 0075.08201
[4] Pírko Z., Veit J.: Laplace Transformation. Praha, SNTL, 1983 (Czech),
[5] Widder D. W.: The Laplace Transform. Princeton, 1946. · Zbl 0060.24801 · doi:10.2307/2305640
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