Symmetry and Integrability of Equations of Mathematical Physics − 2011


Yuliya Samoylenko (National Taras Shevchenko University of Kyiv, Ukraine)

Existence of solution to differential equation with one-dimensional Shrödinger operator in quickly decreasing function space

Abstract:
Differential non-homogeneous equation with one-dimensional Shrödinger operator arising in the theory of asymptotic solutions to singular perturbed partial differential equations is studied. Sufficient conditions for existence of solutions to the equation in quickly decreasing function space are proposed.