References to the Proposal

1.Karavashkin, S.B. Exact analytical solution on finite one-dimensional elastic lumped-parameters line vibration. Materials, Technologies, Tools. The Journal of National Academy of Sciences of Belarus. 4 (1999), 4, 5-14 (Russian)

2.Karavashkin, S.B. Exact analytical solution on infinite one-dimensional elastic lumped-parameters line vibration. Materials, Technologies, Tools. The Journal of National Academy of Sciences of Belarus. 4 (1999), 3, 15-23 (Russian)

3.Karavashkin, S.B. Peculiarities of inclined force action upon one-dimensional homogeneous elastic lumped line. arXiv, (Los Alamos) # math-ph/0006028

4.Magnus, K. Vibrations. Introduction to the vibration systems studying. Mir, Moscow, 1982, 390 pp. (Russian).

5.Krylov, A.N. On some differential equations of mathematical physics. MGITTL Publishing, 1950, 368 pp. (Russian).

6.Krylov, A.N. The ship vibration. The Principal Editorial of the Ship-engineering Literature, Leningrad – Moscow, 1936, 442 pp. (Russian).

7.Olkhovski, I.I. Theoretical mechanics for physicists. Nauka, Moscow, 1970, 448 pp. (Russian).

8. Savin, G.N., Kil'tchevski, I.N. and Put'ata, T.V. Theoretical mechanics. Gostechizdat, Moscow, 1963, 610 pp. (Russian).

9.Yablonski, A.A. and Noreyko, C.C. The course of vibration theory. Visshaya shcola, Moscow, 256 pp. (Russian).

10. Tse, F.S., Morse, I.E. and Hinkle, R.T. Vibrations. Mashinostroenie, Moscow, 1966, 508 pp. (Russian; from edition: Allyn and Bacon, Inc., Boston, 1963).

11. Basic systems in the vibration theory problems. Naukova Dumka, Kyev, 1973, 208 pp. (Russian)

12. Gantmakher, F.R. and Krain, M.G. Oscillative matrixes and nuclei and small oscillations of mechanical systems. GITTL P.H., Moscow – Leningrad, 1950, 354 pp. (Russian).

13. Hellinger, E. And Toeplitz, O. Integralgleichungen und Gleichungen mit Unendlichvielen Unbekannten. Verlag von Teubner, Leipzig und Berlin, 1928 (German).

14. Pain, H.J. The physics of vibrations and waves. Mir , Moscow, 1979, 389 pp. (Russian; from edition: Pain, H.J. The physics of vibrations and waves. John Wiley and Sons, Ltd., London – New York – Sydney – Toronto, 1976).

15. Blakemore, J.S. Solid state physics. Metallurgia, Moscow, 1972, 488 pp. (Russian; from edition: Blakemore, J.S. Solid state physics. W.B. Saunders Company, Philadelphia – London – Toronto, 1970)

16. Biceno, K. and Grammel, R. The engineering dynamics, vol.II. Gostechizdat, Moscow, 1952 (Russian; from German edition).

17. Skudrzyk, E. Simple and complex vibratory systems. Mir, Moscow, 1971, 557 pp. (Russian; from edition: E. Skudrzyk. Simple and complex vibratory systems. The Pennsylvania State University Press, University Park and London, 1968)

18. Grebennikov, E.A. Introduction to the resonance systems theory. Moscow State University, 1987, 174 pp. (Russian)

19. Kuhta, K.Ya., Boyko A.G. and Garmash N.Z. Investigation of complex continuos-discrete systems. Naukova Dumka, Kyev, 1981, 270 pp. (Russian)

20. Volkenshtein, M.V., Eliashkevitch, M.A. and Stepanov B.I. Molecules oscillations, vol. 1: Geometry and mechanics of molecules oscillations. The State Publishing of Technical and Theoretical Literature, Moscow – Leningrad, 1949, 600 pp. (Russian)

 21. Slater, J.C. Insulators, semiconductors and metals. Mir, Moscow, 1969, 647 pp. (Russian; from edition: Slater, J.C. Insulators, semiconductors and metals. In: Quantum theory of molecules and solids, vol.3. McGraw Hill Book Company, New York – St. Lous – Ssan Francisco – Toronto – London – Sydney, 1967)

22. Born, M. and Hypper-Meyer, M. Dynamical theory of lattice. The Principal Editorial for Technical and Theoretical Literature, Moscow – Leningrad, 1938, 364 pp. (Russian, translated from German)

23. Mikhailov, I.G., Soloviev, V.A. and Sirnikov, Yu.P. Foundations of molecular acoustics. Nauka, Moscow, 1964, 514 pp. (Russian)

24. Thouless, D.J. The quantum mechanics of many-body systems. The Publishing for Foreign Literature, Moscow, 1963 (Russian; from edition: Thouless, D.J. The quantum mechanics of many-body systems. Academic Press, New York – London,1961)

 25. Chernous’ko, F.L., Akulenko, L.D. and Soloviev, B.N. Control of oscillations. Nauka, Moscow, 1980, 383 pp. (Russian)

26. Tong Kin, N. Theory of mechanical vibrations. Mashgiz, Moscow, 1963, 354 pp. (Russian)

 27. Atkinson, F.V. Discrete and continuous boundary problems. Mir, Moscow, 1968, 750 pp. (Russian; from edition: Atkinson, F.V. Discrete and continuous boundary problems. Academic Press, new York – London, 1964)

 28. Palis, J. and de Melo, J.W. Geometric theory of dynamical systems. Mir, Moscow, 1986, 302 pp. (Russian; from edition: J. Palis and J.W. de Melo. Geometric theory of dynamical systems. Springer-Verlag, New York – Heidelberg – Berlin, 1982)

29. Reiscig, R., Sansone, G. and Conti, R. Qualitative theory of nonlinear differential equations. Nauka, Moscow, 1974, 318 pp. (Russian; from edition: Reiscig, R., Sansone, G. and Conti, R. Qualitative theorie nichtlinearer differentialleichungen. Edizioni cremonese, Roma, 1963)

30. Mitropolsky, Yu.A. and Homa, G.P. Mathematical background of nonlinear mechanics asymptotic methods. Naukova Dumka, Kyev, 1983, 215 pp. (Russian)

 31. Cherepennikov, V.B. Functional parameters method in the ordinary differential equations theory. Nauka, Novosibirsk, 1983 (Russian)

32. Giacagrilia, G.E.O. Perturbation methods in non-linear systems. Nauka, Moscow, 1979, 320 pp. (Russian; from edition: Giacagrilia, G.E.O. Perturbation methods in non-linear systems. Springer-Verlag, New York – Heidelberg – Berlin, 1972)

33. Dymentberg, M.F. Nonlinear stochastic problems of mechanical vibrations. Nauka, Moscow, 1980, 368 pp. (Russian)

 34. Banerjee, P.K. and Butterfield, R. Boundary element methods in engineering science. Mir, Moscow, 1984, 494 pp. (Russian; from edition: Banerjee, P.K. and Butterfield, R. Boundary element methods in engineering science. McGraw hill Book Company Ltd., London – New York – Sydney – Tokyo – Toronto, 1981)

35. Eichenwald, A.A. Selected works. The State publishing of technical and theoretical literature, Moscow, 1956, 266 pp. (Russian)

36. Altenburg, K. Ultraschallgeschwindigkeit und Molekulstructur. Z. Phys. Chem., 195, 145, 1950

37. Kudryavtcev, B.B. The ultrasonic methods application to the physical and chemical practice. Gostechizdat, 1952 (Russian)

 38. Fisher, I.Z. On the molecular theory of sound velocity in liquids. Acoustic journal, 3, 206, 1957 (Russian).

39. Haug, E. Geology. ONTGIZ NKTP USSR, 1935, 576 pp. (Russian, from edition: Haug, E. Traite de geologie. Vol. 1. Les phenomenes geologiques. Paris, Librarie Armand Colin)

40. Muller, L. Engineering geology. The rocks-mass mechanics. Mir, Moscow, 1971, 255 pp. Russian; from edition: Muller, L. Der Felsbau. Erster Band, Theoretischer Teel, Ferdinand Enke Verlag, Stuttgart, 1963)

41. Gardner, M. F. and Barns, J. L. Transients in Linear Systems with Lumped Parameters. Inostrannaya literatura, Moscow, 1961, 570 pp. (Russian, from edition: M. F. Gardner and J. L. Barns. Transients in Linear Systems, vol.1: Lumped-constant systems. John Wiley & Sons Inc., NY, and Chapman & Hall ltd, London, 1942)

42. Karplus, W. J. Analog Simulation Solution of Field Problems. Inostrannaya literatura, Moscow, 1962, 488 pp. (Russian, from edition: W.J. Karplus. Analog Simulation Solution of Field Problems. McGraw-Hill Book company Inc., New York – Toronto – London, 1958)

43. Gutenmaer, L. I. Introduction to the Russian edition of the book by W. J. Karplus [42]

44. Zubkov, P. I. Appendix to the Russian edition of the book by M. F. Gardner [41]

45. Olson, H. F. Dynamical Analogies. Inostrannaya literatura, Moscow, 1947, 224 pp. (Russian, from English-language edition: H. F. Olson. Dynamical Analogies, 1944)

46. Karavashkin S.B. Refined method of electric long lumped-parameters lines calculation on the basis of exact analytical solutions for mechanical elastic lines. –Transactions of international conference under IEEE leadership “Control of Oscillations and Chaos” (COC 2000, July 2000, Russia), vol.1, p.154.

47. Karavashkin, S.B. Some peculiarities of forced vibrations modelling in homogeneous elastic lumped-parameters lines. Materials, Technologies, Tools. The Journal of National Academy of Sciences of Belarus, 5 (2000), 3, 15-23 (Russian)

48. Karavashkin, S.B. and Karavashkina, O.N. Some features of vibrations in homogeneous 1d resistant elastic lumped line. SELF Transactions, 2 (2002), 1, pp.17 – 34

49. Karavashkin, S.B. and Karavashkina, O.N. The features of oscillation pattern in mismatched finite electric ladder filters. SELF Transactions, 2 (2002), 1, pp.35 – 47

50. Karavashkin, S.B. and Karavashkina, O.N. On complex resonance vibration systems calculation. SELF Transactions, 2 (2002), 1, pp.48 – 59