Multivalued evolution equations with nonlocal initial conditions in Banach spaces
Multivalued evolution equations with nonlocal initial conditions in Banach spaces
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DOI：
10.1007/s00030-007-5049-5
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发表时间：
2007-11
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影响因子：
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通讯作者：
S. Aizicovici;V. Staicu
中科院分区：
文献类型：
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作者：
S. Aizicovici;V. Staicu
证明了Banach空间X中非局部Cauchy问题u{\prime}（t）\epsilon-Au（t）+F（t，u（t）），0{\leq}\，t\，{\leq}\，T; u（0）=g（u）$$的积分解的存在性，其中m-增生且使得-A生成一个紧半群，具有非空、闭和凸值，且关于其第二变元是强-弱上连续的，且.还考虑了A依赖于时间的情形。
We prove the existence of integral solutions to the nonlocal Cauchy problem $$u{\prime}(t)\epsilon-Au(t)+F(t,u(t)), 0{\leq}\,t\, {\leq}\,T; u(0)=g(u)$$ in a Banach spaceX, whereis m-accretive and such that –Agenerates a compact semigroup,has nonempty, closed and convex values, and is strongly-weakly upper semicontinuous with respect to its second variable, and. The case whenAdepends on time is also considered.