Mixed-type duality for multiobjective fractional variational control problems.

In this paper we establish the existence of nontrivial solutions to $\frac{d}{d t} L_{x^{'}} (t, x^{'} (t)) + V_{x} (t, x (t)) = 0, x (0) = 0 = x (T),$ with $V_{x}$ superlinear in $x$ .

On periodic solutions of non-autonomous second order Hamiltonian systems

Xingyong Zhang, Yinggao Zhou (2010)

Applications of Mathematics

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The purpose of this paper is to study the existence of periodic solutions for the non-autonomous second order Hamiltonian system $\{\begin{matrix} \ddot{u} (t) = \nabla F (t, u (t)), a.e. t \in [0, T], \\ u (0) - u (T) = \dot{u} (0) - \dot{u} (T) = 0 . \end{matrix}$ Some new existence theorems are obtained by the least action principle.

Generalization of integral inequalities for functions whose modulus of $n^{th}$ derivatives are convex.

Mir, Nazir Ahmad, Rafiq, Arif, Ahmad, Farooq (2006)

General Mathematics

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Periodic solutions of a class of non-autonomous second-order differential inclusion systems.

Paşca, Daniel (2001)

Abstract and Applied Analysis

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