Geodesic
On the two-point boundary-value problem for equations of geodesics
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 4, pp. 65-70
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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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Yu. E. Gliklikh; P. S. Zykov. On the two-point boundary-value problem for equations of geodesics. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 4, pp. 65-70. http://geodesic.mathdoc.fr/item/FPM_2005_11_4_a4/

[1] Bishop R., Krittenden R., Geometriya mnogoobrazii, Mir, M., 1967 | MR | Zbl

[2] Gliklikh Yu. E., Analiz na rimanovykh mnogoobraziyakh i zadachi matematicheskoi fiziki, Izd-vo VGU, Voronezh, 1989 | MR | Zbl

[3] Gromol D., Klingenberg V., Meier V., Rimanova geometriya v tselom, Mir, M., 1971

[4] Kobayasi Sh., Nomitszu K., Osnovy differentsialnoi geometrii, T. 1, Nauka, M., 1981

[5] Bates L., “You can't get there from here”, Differential Geom. Appl., 8 (1998), 273–274 | DOI | MR | Zbl

[6] Ginzburg V. L., “Accessible points and closed trajectories of mechanical systems”, in book: Gliklikh Yu. E., Global Analysis in Mathematical Physics. Geometric and Stochastic Methods, Springer, New York, 1997, 192–201

[7] Gliklikh Yu. E., Global Analysis in Mathematical Physics. Geometric and Stochastic Methods, Springer, New York, 1997 | MR | Zbl