Solvability of an integrodifferential equation arising in the nonlocal interaction of waves

The solvability of an integrodifferential equation arising in the problem of nonlocal wave interaction is analyzed. A mathematically substantiated method based on applying an Ambartsumyan-type equation is proposed for the analytical solution of the problem. Some numerical results are presented.

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Veröffentlicht in:	Computational mathematics and mathematical physics 2014-05, Vol.54 (5), p.864-873
Hauptverfasser:	Engibaryan, N. B., Khachatryan, A. Kh
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Banach spaces Computation Computational mathematics Computational Mathematics and Numerical Analysis Differential equations Fourier transforms Mathematical analysis Mathematical functions Mathematical models Mathematics Mathematics and Statistics Physics Studies Wave interaction
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Beschreibung
Zusammenfassung:	The solvability of an integrodifferential equation arising in the problem of nonlocal wave interaction is analyzed. A mathematically substantiated method based on applying an Ambartsumyan-type equation is proposed for the analytical solution of the problem. Some numerical results are presented.
ISSN:	0965-5425 1555-6662
DOI:	10.1134/S0965542514050091