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Bellman, R.; Vasudevan, R.

On the generalizations of Bremmer series solutions of wave equations. (English) Zbl 0318.65051

J. Math. Anal. Appl. 52, 151-167 (1975).
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Cited in 2 Documents

MSC:

65Z05 Applications to the sciences
35C10 Series solutions to PDEs
35L05 Wave equation
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\textit{R. Bellman} and \textit{R. Vasudevan}, J. Math. Anal. Appl. 52, 151--167 (1975; Zbl 0318.65051)
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References:

[1] Bellman, R; Vasudevan, R; Ueno, S, On the matrix Riccati equation of transport processes, J. math. anal. appl., 44, 472-481, (1973) · Zbl 0271.34026
[2] Bellman, R; Vasudevan, R, Wave equation with sources, invariant imbedding, and bremmer series solutions, J. math. anal. appl., 48, 17-30, (1974) · Zbl 0289.34013
[3] Bremmer, H, W. K. B. approximation as the first term of the geometric optical series, () · Zbl 0043.20301
[4] Wing, G.M, Invariant imbedding and generalization of the W. K. B. method and the bremmer series, Technical report 285, (1975)
[5] Sluijter, F.W, Generalization of the bremmer series based on physical concepts, J. math. anal. appl., 27, 282, (1969) · Zbl 0176.47101
[6] Van Kampen, N.G, Higher corrections to the W. K. B. approximation, Physica, 35, 70, (1967)
[7] Keller, H.B; Keller, J.B, Exponential like solutions of systems of linear ordinary differential equations, J. soc. ind. appl. math., 10, 246, (1962) · Zbl 0105.28801
[8] Bakar, E, Generalized W.K.B. method with applications to problems of propagation in non-homogeneous media, J. math. psychol., 8, 1735, (1967)
[9] Bellman, R; Kalaba, R, Quasilinearization and nonlinear boundary value problems, (1965), American Elsevier New York · Zbl 0139.10702
[10] Bellman, R; Kalaba, R, Functional equations, wave propagation and invariant imbedding, J. math. mech., 8, 683, (1959) · Zbl 0090.45301
[11] Chandrasekhar, S, (), 14
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