RT Journal Article
T1 On the smoothness of solutions of the third order nonlinear differential equation
A1 Berdyshev, Abdumauvlen S.
A1 Birgebaev, Ahtai B.
A1 Cabada Fernández, Alberto
K1 Nonlinear equation
K1 Solvability
K1 Separability
K1 Smoothness
AB In this work we study the following third order differential equation: Ly := y + (q(x, y) + λ)y = f ∈ L2(R), R = (–∞,∞),λ > 0, where q(x, y) ≥ 1 is a continuous function in all its variables. We will deal with the following questions: (a) The existence of a solution to equation (1) in the space L2(R) where L2(R) is the space of square summable functions. (b) Additional conditions on the third derivative of this solution to belong to the space L2(R)
PB Springer
SN 1687-2762
YR 2017
FD 2017
LK http://hdl.handle.net/10347/17605
UL http://hdl.handle.net/10347/17605
LA eng
NO Berdyshev, A., Birgebaev, A. & Cabada, A. (2017). On the smoothness of solutions of the third order nonlinear differential equation. Boundary Value Problems,  2017:69. doi: https://doi.org/10.1186/s13661-017-0799-4
NO Alberto Cabada was partially supported by Ministerio de Economía y Competitividad, Spain, and FEDER, project MTM2013-43014-P, and by the Agencia Estatal de Investigación (AEI) of Spain under grant MTM2016-75140-P, co-financed by the European Community fund FEDER
DS Minerva
RD 28 abr 2026