The continuity of solution set of a multivalued equation and applications in control problem

Tran THANH PHONG; Vo Viet TRI

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The continuity of solution set of a multivalued equation and applications in control problem

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In this paper, we prove the existence, unbounded continuity of positive set for a multivalued equation containing a parameter of the form $x in A circ F(lambda,x)$ and give applications in the control problem with multi-point boundary conditions and second order derivative operator begin{equation}left{ begin{array}{l}u^{prime prime }(t) +g(lambda,t) f(u(t)) =0,text{ }tin (0,1) , g(lambda,t) in F(lambda,u(t)) text{ a.e. on } Ju(0) =0, u( 1) =sum_{i=1}^{m}alpha_{i} u( eta _{i})end{array}right. label{Eq3.1}end{equation}.

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《Advances in the Theory of Nonlinear Analysis and its Applications》 |2021年第3期|330-336|共7页
作者
Tran THANH PHONG; Vo Viet TRI;
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Thu Dau Mot University;

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multivalued operator; multivalued equation; fixed point index; control problem;

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1. On solution sets of multivalued differential equations [J] . Klaus Deimling, M.R. Mohana Rao applicable analysis . 1988,第3期

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3. Distributed complex Gaussian basis sets: A useful function space for the solution of predissociation problems via the complex eigenvalue Schrouml;dinger equation. Application to the isotope effect of NeH, NeD [J] . Ioannis D. Petsalakis, Theodoros Mercouris, Giannoula TheodorakopoulosCleanthes A. Nicolaides journal of chemical physics . 1990,第9期

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The continuity of solution set of a multivalued equation and applications in control problem

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