Periodic and boundary value problems for second order differential inclusions

MichelaPalmucci; FrancescaPapalini

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Periodic and boundary value problems for second order differential inclusions

机译：二阶微分包含的周期和边值问题

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In this paper we study differential inclusions with boundary conditions in which the vector fieldF(t,x,y)is a multifunction with Caratheodory type conditions. We consider, first, the case whichFhas values in?and we establish the existence of extremal solutions in the order interval determined by the lower and the upper solution. Then we prove the existence of solutions for a Dirichlet problem in the case in whichFtakes their values in a Hilbert space.

机译：在本文中，我们研究了带有边界条件的微分包含，其中矢量场F（t，x，y）是Caratheodory类型条件的多功能。我们首先考虑F值在其中的情况，并在由下解和上解确定的有序区间内建立极值解的存在。然后我们证明了当F在希尔伯特空间中获取值时Dirichlet问题的解的存在性。

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《International journal of stochastic analysis》 |2001年第2期|共22页
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MichelaPalmucci; FrancescaPapalini;
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Periodic and boundary value problems for second order differential inclusions

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