The goal of this paper is to present the necessary and sufficient conditions that every extremizer a given class functionals, defined on set C1[a,b], must satisfy. Lagrange function depends generalized fractional derivative, integral, an antiderivative involving previous operators. We begin by obtaining Euler–Lagrange equation, which condition optimize functional. By imposing convexity over fun...

Lyapunov quadratic functionals are used to test the stability of systems, to compute the critical delay values for time delay systems, to compute the exponential estimates for the solutions of time delay systems, to calculate the robustness bounds for uncertain time delay systems, and to calculate a quadratic performance index for the process of parametric optimization for time delay systems. W...

The conditions under which, multilinear forms (the symmetric case and the non symmetric case),can be written as a product of linear forms, are considered. Also we generalize a result due to S.Kurepa for 2n-functionals in a group G.

The accurate description of interface characteristics between organic molecules and metal surfaces has long been debated in theoretical studies. A well-founded description of interface geometry and adsorption energy is highly desirable for these hybrid inorganic/organic interfaces. Using first principles calculations with the inclusion of five van der Waals functionals (vdW-DF family), benzene ...

We establish a stochastic maximum principle (SMP) for control problems of partially observed diffusions of mean-field type with risk-sensitive performance functionals. AMS subject classification. 93E20, 60H30, 60H10, 91B28.