Year: 1995
Author: Deming Shi, Lushan Yang, Deming Shi
Journal of Partial Differential Equations, Vol. 8 (1995), Iss. 3 : pp. 233–241
Abstract
In this paper, a class of evolution equations which have special boundary conditions is discussed. The spectrum properties of an operator which is associated with this class of equations arc provided, and the existence and uniqueness of solutions of this class of equations is proved by the theory of pertu rbation of C_0-semigroups. In the last part of this paper, a condition which ensures the solutions to be non-negative is given. Some results of the time-independent population systems in [1-5] are our examples.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1995-JPDE-5655
Journal of Partial Differential Equations, Vol. 8 (1995), Iss. 3 : pp. 233–241
Published online: 1995-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: Evolution equation