| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 841955 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 8 Pages |
Abstract
The aim of this paper is to give an existence theorem for a semilinear equation of evolution on an unbounded interval in the case when the generator of a semigroup depends on time parameter. The considerations of this paper are based on the concept of a measure of noncompactness in Fréchet space and the classical Tichonov fixed point principle. Moreover, an application of the main theorem to the second-order parabolic PDE is given.
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Authors
Leszek Olszowy, Stanisław Wȩdrychowicz,