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Iteration method for finding periodic solutions of the wave equation

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Literature Cited

  1. 1.

    R. E. Bellman and R. Kalaba, Quasilinearization and Nonlinear Boundary-value Problems [Russian translation], Mir, Moscow (1968).

  2. 2.

    S. K. Godunov and V. S. Ryaben'kii, Difference Schemes: Introduction to the Theory [in Russian], Nauka, Moscow (1973).

  3. 3.

    A. A. Pogrebnyak and É. A. Shmidt, “Free longitudinal vibrations of a nonlinear elastic rod; physical models of a set of plate springs,” Detali Mashin, No. 37, pp. 78–83 (1983).

  4. 4.

    Z. E. Filer, “On an approximation method of solving boundary-value problems for the vibration of systems with distributed parameters,” Prikl. Mekh.14, No. 6, 68–71 (1978).

  5. 5.

    Z. E. Filer, “δ method of the theory of vibrations in numerical form,” Din. Prochn. Mashin, No. 29, 21–24 (1979).

  6. 6.

    Z. E. Filer, “Study of nonlinear vibrations by iteration of the corresponding integral equations,” [in Russian], Coll. of papers on Scientific Methods of Theor. Mech., issue 11, pp. 138–146 (1981).

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Additional information

Donetsk Polytechnical Institute. Translated from Prikladnaya Mekhanika,21, No. 12, pp. 97–102, December, 1985.

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Filer, Z.E. Iteration method for finding periodic solutions of the wave equation. Soviet Applied Mechanics 21, 1214–1218 (1985).

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  • Wave Equation
  • Periodic Solution
  • Iteration Method