M. A. Sagadeeva, “A existance and a stability of solutions for semilinear Sobolev type equations in relatively radial case”, Bulletin of Irkutsk State University. Series Mathematics, 2013, Volume 6, Issue 1,Pages <nobr>78

This article is cited in 2 papers

A existance and a stability of solutions for semilinear Sobolev type equations in relatively radial case

M. A. Sagadeeva

South Ural State University, 76, Lenina Av., Chelyabinsk, 454080

Abstract: The unique solvability of the Cauchy problem for a semilinear Sobolev type equation with respect to $p$-radial operators studied in this paper. Stability of the solutions in the neighborhood of zero has been studied for these equations.

Keywords: semilinear Sobolev type equations, theorem of Hadamar–Perron, stable and unstable manifold of solutions.

UDC: 517.9