Antiperiodic boundary-value problems for differential equations with monotone operators in Banach spaces
In this dissertation the author studies: (1) semilinear parabolic equations with antiperiodic boundary conditions in Banach spaces, (2) generalized antiperiodic boundary value of differential inclusions in Hilbert spaces, and (3) heat equations with generalized periodic boundary value conditions in C(0,1). In (1), the second differential operator is proved to be the infinitesimal generator of an analytic compact semigroup. The existence, uniqueness, and asymptotic behavior of the solutions are studied. He showed that the second order differential operator in (2) is maximal monotone. Therefore, the corresponding differential inclusion has a unique solution. It is also proved that the solution depends continuously on data f. In (3), the second order differential operator is proved to be m-dissipative and thus generates a C{sub 0}-semigroup.
- Research Organization:
- Ohio Univ., Athens, OH (United States)
- OSTI ID:
- 5313062
- Resource Relation:
- Other Information: Thesis (Ph.D.)
- Country of Publication:
- United States
- Language:
- English
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