AbstractWe propose q-versions of some basic concepts of continuous variational calculus such as the Euler–Lagrange equation and its applications to the isoperimetric, Lagrange and optimal control problems (“the maximum principle”), and also to the Hamilton systems and commutation equations
summary:Variational integrals containing several functions of one independent variable subjected mor...
MSC 2010: 26A33, 70H25, 46F12, 34K37 Dedicated to 80-th birthday of Prof. Rudolf GorenfloWe propose ...
summary:Elements of general theory of infinitely prolonged underdetermined systems of ordinary diffe...
AbstractWe propose q-versions of some basic concepts of continuous variational calculus such as the ...
AbstractWe prove a necessary stationary condition for non-differentiable isoperimetric variational p...
summary:The criteria of extremality for classical variational integrals depending on several functio...
MSC 2010: 49K05, 26A33We give a proper fractional extension of the classical calculus of variations....
A new type of discrete Euler-Lagrange equation, suitable for generalization, is presented in this pa...
AbstractThis paper presents extensions to traditional calculus of variations for systems containing ...
AbstractWe introduce the variational calculus on q-nonuniform lattices. In particular, we discuss th...
AbstractWe prove the Euler–Lagrange fractional equations and the sufficient optimality conditions fo...
AbstractHistorians have documented the main development of the calculus of variations in the 18th ce...
AbstractWe obtain necessary optimality conditions for higher-order infinite horizon problems of the ...
We obtain a generalized Euler–Lagrange differential equation and transversality optimality condition...
summary:We will deal with a new geometrical interpretation of the classical Legendre and Jacobi cond...
summary:Variational integrals containing several functions of one independent variable subjected mor...
MSC 2010: 26A33, 70H25, 46F12, 34K37 Dedicated to 80-th birthday of Prof. Rudolf GorenfloWe propose ...
summary:Elements of general theory of infinitely prolonged underdetermined systems of ordinary diffe...
AbstractWe propose q-versions of some basic concepts of continuous variational calculus such as the ...
AbstractWe prove a necessary stationary condition for non-differentiable isoperimetric variational p...
summary:The criteria of extremality for classical variational integrals depending on several functio...
MSC 2010: 49K05, 26A33We give a proper fractional extension of the classical calculus of variations....
A new type of discrete Euler-Lagrange equation, suitable for generalization, is presented in this pa...
AbstractThis paper presents extensions to traditional calculus of variations for systems containing ...
AbstractWe introduce the variational calculus on q-nonuniform lattices. In particular, we discuss th...
AbstractWe prove the Euler–Lagrange fractional equations and the sufficient optimality conditions fo...
AbstractHistorians have documented the main development of the calculus of variations in the 18th ce...
AbstractWe obtain necessary optimality conditions for higher-order infinite horizon problems of the ...
We obtain a generalized Euler–Lagrange differential equation and transversality optimality condition...
summary:We will deal with a new geometrical interpretation of the classical Legendre and Jacobi cond...
summary:Variational integrals containing several functions of one independent variable subjected mor...
MSC 2010: 26A33, 70H25, 46F12, 34K37 Dedicated to 80-th birthday of Prof. Rudolf GorenfloWe propose ...
summary:Elements of general theory of infinitely prolonged underdetermined systems of ordinary diffe...