Displaying similar documents to “On periodic solutions of systems of linear functional-differential equations”

On periodic in the plane solutions of second order linear hyperbolic systems

Tariel Kiguradze (1997)

Archivum Mathematicum

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Sufficient conditions for the problem ∂ 2 u ∂ x ∂ y = P 0 ( x , y ) u + P 1 ( x , y ) ∂ u ∂ x + P 2 ( x , y ) ∂ u ∂ y + q ( x , y ) , u ( x + ω 1 , y ) = u ( x , y ) , u ( x , y + ω 2 ) = u ( x , y ) to have the Fredholm property and to be uniquely solvable are established, where ω 1 and ω 2 are positive constants and P j : R 2 → R n × n ( j = 0 , 1 , 2 ) and q : R 2 → R n are continuous matrix and vector functions periodic in x and y .

On some general almost periodic optimal control problems : links with periodic problems and necessary conditions

Denis Pennequin (2008)

ESAIM: Control, Optimisation and Calculus of Variations

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In this paper, we are concerned with periodic, quasi-periodic (q.p.) and almost periodic (a.p.) Optimal Control problems. After defining these problems and setting them in an abstract setting by using Abstract Harmonic Analysis, we give some structure results of the set of solutions, and study the relations between periodic and a.p. problems. We prove for instance that for an autonomous concave problem, the a.p. problem has a solution if and only if all problems (periodic with fixed...