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Calculus of variations and its application to division of forest land
area land division of land real-estate cadastre mean square error least square method calculus of variations adjustment with conditions
2015/2/2
The paper deals with an application of the least squares method (LSM) for the purposes of division and evaluation of land. This method can be used in all cases with redundant number of measurements, i...
Composition Functionals in Fractional Calculus of Variations
Fractional calculus of variations Composition of functionals Fractional Euler–Lagrange equations
2010/12/6
We prove Euler–Lagrange and natural boundary necessary optimality conditions for fractional problems of the calculus of variations which are given by a composition of functionals. Our approach uses th...
On a Non-Standard Convex Regularization and the Relaxation of Unbounded Integral Functionals of the Calculus of Variations
Non-Standard Convex Regularization Integral Functionals Calculus of Variations
2009/1/20
The analysis of the relationships between the functional $F^{(\infty)}(\Omega,\cdot) \colon u \in W^{1,\infty}(\Omega) \mapsto \inf$ $\{\liminf_h \int_\Omega f(\nabla u_h)dx : \{u_h\}$ $\subseteq W^{1...
We consider the stability of solutions of variational problems with respect to perturbations of the integrand, raised by S. M. Ulam [A Collection of Mathematical Problems, Interscience, Los Alamos, 1...
First integrals for problems of calculus of variations on locally convex spaces
calculus of variations locally convex spaces Noether's theorem
2009/1/5
The fundamental problem of calculus of variations is consid-
ered when solutions are di®erentiable curves on locally convex spaces.
Such problems admit an extension of the Euler-Lagrange equatio...