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On a boundary-value problem solvability condition

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Abstract

We prove a sufficient condition for the solvability of a two-point problem.

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Literature cited

  1. S. N. Bernshtein, “On the equations of the calculus of variations,” Usp. Matem. Nauk,8, 32–45 (1941).

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  2. M. Nagumo, “Uber die Differentialgleichung y″=f(x, y, y′),” Proc. Phys.-Math. Soc. Japan,19 (3), 861–866 (1937).

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  3. G. Sansone, Equazioni differenziali nel campo reale, Zanichelli, Bologna (1963).

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  4. P. Hartman, Ordinary Differential Equations, Wiley (1964).

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    M. I. El'shin & L. I. Smolich

Authors
  1. M. I. El'shin
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  2. L. I. Smolich
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Additional information

Translated from Matematicheskie Zametki, Vol. 13, No. 2, pp. 247–250, February, 1973.

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El'shin, M.I., Smolich, L.I. On a boundary-value problem solvability condition. Mathematical Notes of the Academy of Sciences of the USSR 13, 149–151 (1973). https://doi.org/10.1007/BF01094233

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  • DOI: https://doi.org/10.1007/BF01094233

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