N. B. Engibaryan, A. Kh. Khachatryan, “Solvability of an integrodifferential equation arising in the nonlocal interaction of waves”, Zh. Vychisl. Mat. Mat. Fiz., 2014, Volume 54, Number 5,Pages <nobr>834

This article is cited in 1 paper

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

N. B. Engibaryan, A. Kh. Khachatryan

Institute of Mathematics, Academy of Sciences of Armenia, pr. Marshala Bagramyana 14/5, Yerevan, 0019, Armenia

Abstract: 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.

Key words: Wiener–Hopf operators, operator symbol, factorization, monotonicity, Ambartsumyan equation, interaction of waves.

UDC: 519.642

Received: 13.09.2013
Revised: 21.11.2013

DOI: 10.7868/S004446691405010X