Yu. E. Anikonov, M. V. Neshchadim, “Representations for the solutions and coefficients of evolution equations”, Sib. Zh. Ind. Mat., 2013, Volume 16, Number 2,Pages <nobr>40

This article is cited in 12 papers

Representations for the solutions and coefficients of evolution equations

Yu. E. Anikonov^ab, M. V. Neshchadim^ba

^a Sobolev Institute of Mathematics of SB RAS, 4 Koptyug av., 630090 Novosibirsk, Russia
^b Novosibirsk State University, 2 Pirogova st., 630090 Novosibirsk, Russia

Abstract: We give new representations for the solutions and coefficients of evolution equations in the linear case. The obtained formulas contain functional arbitrariness, which can be used in identification problems. We also give classes of hyperbolic equations admitting generalized functional-invariant solutions.

Keywords: second-order evolution differential equations, Poisson formula, generalized functional-invariant solutions.

UDC: 517.9

Received: 22.03.2013