Generalized Method of Finite Integral Transformations in Linear and Nonlinear Static Problems for Shallow Shells

Author:

Grigorenko Ya. M.,Bespalova O. I.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Reference34 articles.

1. R. Bellman and R. Kalaba, Quasilinearization and Nonlinear Boundary-Value Problems, Elsevier, New York (1965).

2. E. I. Bespalova, “Generalized method of finite integral transforms in static problems for anisotropic prisms,” Prikl. Mekh., 54, No. 1, 52–67 (2018); English translation: Int. Appl. Mech., 54, No. 1, 41–55 (2018); https://doi.org/10.1007/s10778-018-0858-2

3. E. I. Bespalova, “Finite integral transform method in static problems for inhomogeneous plates,” Prikl. Mekh., 50, No. 6, 55–68 (2014); English translation: Int. Appl. Mech., 50, No. 6, 651–663 (2014); https://doi.org/10.1007/s10778-014-0663-5.

4. Ya. M. Grigorenko, E. I. Bespalova, A. B. Kitaigorodskii, and A. B. Shinkar', “Numerical solutions of nonlinear static boundaryvalue problems for flexible plates,” Dokl. Akad. Nauk. Ukr. SSR. Ser. A, No. 6, 44–48 (1980).

5. G. A. Grinberg, “A new method for solving some boundary-value problems for equations of mathematical physics admitting separation of variables,” Izv. Akad. Nauk SSSR, Ser. Fiz., 10, No. 2, 141–168 (1946).

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