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.
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