Higher-order variational problems
Noether's theorem for higher-order variational problems of Herglotz type
... approach higher-order variational problems of Herglotz type from an optimal control point of ...type higher-order variational problems, valid for piecewise smooth ...
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Higher-order variational problems of Herglotz type with time delay
... sidering higher-order variational problems of Herglotz type with a time delay, proving the corresponding Euler–Lagrange equations, transversality condi- tions, the DuBois–Reymond necessary ...
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Higher-order variational problems of Herglotz type
... The variational problem of Herglotz was the basis of the ...to problems of Herglotz type [3, 4, ...classical variational principle, the variational principle of Herglotz gives a ...
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Fractional variational problems depending on indefinite integrals
... Similar problems have been recently investigated in [21], where Lagrangians containing higher- order derivatives and optimal control problems are ...such problems within the framework ...
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On higher order fully periodic boundary value problems
... Higher order periodic boundary value problems have been studied by several authors in the last decades, using different types of arguments and techniques, as it can be seen in [ 1–3 ] for ...
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Variational problems for Hölderian functions with free terminal point
... new variational calculus introduced in 2011 by ...nondifferentiable variational problems with free terminal point: with and without constraints, of first and higher-order ...
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Variational and optimal control approaches for the second-order Herglotz problem on spheres
... the variational problem of ...the higher–order Herglotz problem, with and without, time delay [10, 11, 12, ...for variational problems of Herglotz type for Birkhoffian systems [14, ...
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Higher order periodic impulsive problems,
... and variational techniques ([ 15 , 16 ]), fixed point results in cones ([ 6 , 17 ]), bifurcation theory ([ 9 , 11 ]), and lower and upper solutions method ([ 3 , 8 ...
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An expansion formula with higher-order derivatives for fractional operators of variable order
... fractional problems of the calculus of variations [21]. The fractional variational calculus of variable order is a recent subject under strong current development [15, 16, 22, ...fractional ...
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Constrained fractional variational problems of variable order
... fractional variational problems with Lagrangians containing left-sided and right-sided fractional derivatives of variable ...nonvariable order case, because of difficulties in application of ...
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Higher-order Hahn's quantum variational calculus
... Note that we recover the classical problem of the equilibrium of the elastic bending beam when (ω, q) → (0, 1). Problem (1.1) is a particular case of the problem (P) investigated in Section 3. Our ...
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Atomic memory using higher-order nonlinear processes
... In order to enlighten the whole process, we divide it into three ...which order is desired to be accessed, is turned on retrieving the information stored in the atomic ensemble as a pulse diffracted along ...
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Noether's symmetry theorem for variational and optimal control problems with time delay
... Abstract. We extend the DuBois–Reymond necessary optimality condition and Noether’s symmetry theorem to the time delay variational setting. Both Lagrangian and Hamiltonian versions of Noether’s theorem are proved, ...
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HIGHER ORDER SCHWARZIAN DERIVATIVES FOR CONVEX UNIVALENT FUNCTIOS
... We observe that in contrast to the class S , the extremal func- tions for the bound of higher order Schwarzian derivatives for the class S c.. of convex univalent functions are different.[r] ...
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Fractional variational problems depending on indefinite integrals and with delay
... The aim of the paper is to generalize the main result of [5], by considering delays in our system. Necessary conditions are proven in case the Lagrange function depends on fractional derivatives and on indefinite ...
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Adaptive filtering using Higher Order Statistics (HOS)
... One of the problems of the polynomial filters is that they require a great number of coefficients to characterize a nonlinear process. This problem can be solved by the use of a recursive polynomial structure ...
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Fourth order impulsive periodic boundary value problems
... Cabada, A., Minhós, F.: Fully nonlinear fourth-order equations with functional boundary conditions. Cabada, A., Minhós, F., Santos, A.: Solvability for a third order discontinuous fully [r] ...
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Fuzzy Generalized Variational Like Inequality problems in Topological Vector Spaces
... vector variational inequality in finite dimensional Euclidean ...vector variational inequalities in abstract spaces and have obtained existence theorems for their ...of variational inequalities for ...
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Necessary optimality conditions for infinite horizon variational problems on time scales
... the variational principle holds as a unified law [ 5 ], then the above time scale differential equations must also come from minimization of some delta or nabla functional with a Lagrangian containing delta or ...
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Higher-Order Pushdown Systems with Data
... We extend the definition of higher-order pushdown automata by allowing infinite alphabets, both on input and on stack. More precisely, every symbol consists of two parts: a label from a finite alphabet, and ...
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