VARIATIONAL APPROACH TO THE CALCULATION OF CHARGE EXCHANGE CROSS SECTIONS FOR ADIABATIC COLLISIONS
Variational approach to calculation of charge exchange cross sections for adiabatic collision
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Variational approach to calculation of charge exchange cross sections for adiabatic collision
Solution of variational problems using newton- raphson operator
Discontinuous variational problems & optimal flight of multistage rockets
A multiplier rule and analogues of the Weierstrass and Clebsch conditions are developed for a multistage Bolza-Meyer calculus of variations problems. The number of stages is fixed, but partition points defining state boundaries are variable. Discontinuities are allowed in variables finite equations and inequalities, as well as differential equations, all of which involve control variables. An appendix summarizes some of the results obtained by C. H. Denbow, as modified by R. W. hunt, for a generalized Bolza problem. The appendix is independent of the rest of the paper.
First order control for low thrust interplanetary vehicles based on calculus of variations and Weierstrass E-function
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Reissner variational formulation of temperature distribution boundary value problem of axisymmetric thermal stresses in isotropic sandwich shells of revolution
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Second variation method for computation of optimal control problem with terminal constraint
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Variational perturbation equations and time- independent Schroedinger equation for two-, three- and four-electron atoms