FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 4, PAGES 65-70

On the two-point boundary-value problem for equations of geodesics

Yu. E. Gliklikh
P. S. Zykov

Abstract

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For equations of "geodesic spray" type with continuous coefficients on a complete Riemannian manifold, some interrelations between certain geometric characteristics, the distance between points, and the norm of right-hand side are found that guarantee solvability of the boundary-value problem.

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Last modified: November 25, 2005