The aim of this work is to study the conservation laws of continuous means mechanics and also to extend the Hamiltonian method for these kind of systems in order to valid for non-potential operators through variational approach. Besides illustrating with various examples of mechanical applications we also introduce in this work the new technique in order to treat such problems as the non-potential problem
Using the framework of nonstandard analysis, I find the discretized version of the Euler-Lagrange eq...
In this paper we continue analyzing the possible applications of nonstandard analysis to variational...
In this paper, we consider a generalization of variational calculus which allows us to consider in t...
A study was developed in order to build a function M invariant in time, by means of Hamiltonian's fo...
For discovering conservation laws (constants of motion) of a given system of equations of motion, th...
The paper was aimed at the development of variational principles of mechanics of the infinite-dimens...
AbstractTwo approaches for the study of mechanical systems with non-holonomic constraints are presen...
This brief examines mathematical models in nonsmooth mechanics and nonregular electrical circuits, i...
summary:The inverse problem of the calculus of variations in a nonholonomic setting is studied. The ...
Conservation laws play an important role in science. The aim of this thesis is to provide an overvie...
We generate conservation laws for the Burridge-Knopoff equation which model nonlinear dynamics of ea...
The use of variational methods for the construction of sufficiently accurate approximate solutions o...
The work covers the mathematical models of the physical systems described by the differential equati...
In the invariant variational principle, most of the conservation laws are derived from the Lagrangia...
Chapter 8 presented variational and energy principles for unconstrained dynamical system. This chapt...
Using the framework of nonstandard analysis, I find the discretized version of the Euler-Lagrange eq...
In this paper we continue analyzing the possible applications of nonstandard analysis to variational...
In this paper, we consider a generalization of variational calculus which allows us to consider in t...
A study was developed in order to build a function M invariant in time, by means of Hamiltonian's fo...
For discovering conservation laws (constants of motion) of a given system of equations of motion, th...
The paper was aimed at the development of variational principles of mechanics of the infinite-dimens...
AbstractTwo approaches for the study of mechanical systems with non-holonomic constraints are presen...
This brief examines mathematical models in nonsmooth mechanics and nonregular electrical circuits, i...
summary:The inverse problem of the calculus of variations in a nonholonomic setting is studied. The ...
Conservation laws play an important role in science. The aim of this thesis is to provide an overvie...
We generate conservation laws for the Burridge-Knopoff equation which model nonlinear dynamics of ea...
The use of variational methods for the construction of sufficiently accurate approximate solutions o...
The work covers the mathematical models of the physical systems described by the differential equati...
In the invariant variational principle, most of the conservation laws are derived from the Lagrangia...
Chapter 8 presented variational and energy principles for unconstrained dynamical system. This chapt...
Using the framework of nonstandard analysis, I find the discretized version of the Euler-Lagrange eq...
In this paper we continue analyzing the possible applications of nonstandard analysis to variational...
In this paper, we consider a generalization of variational calculus which allows us to consider in t...