About continuous dependence on the integrand of solutions of simplest variational problems (Q1921791)
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scientific article; zbMATH DE number 923512
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | About continuous dependence on the integrand of solutions of simplest variational problems |
scientific article; zbMATH DE number 923512 |
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About continuous dependence on the integrand of solutions of simplest variational problems (English)
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3 September 1996
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The author investigates standard one-dimensional variational problems with integrands \(f=f(t,u,\dot u)\), \(u=(u_1,\dots,u_m)\), belonging to some special classes of functions. It is shown, under some assumptions, that the small perturbations of the integrands cause small perturbations of the corresponding solutions of variational problems.
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one-dimensional problem
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continuous dependence
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variational problems
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small perturbations of the integrands
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