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16 results on '"Newtonian equation"'

7. Many-Body Systems in Ordinary (Three-Dimensional) Space: Solvable, Integrable, Linearizable Problems

Author

Beig, R., editor, Ehlers, J., editor, Frisch, U., editor, Hepp, K., editor, Hillebrandt, W., editor, Imboden, D., editor, Jaffe, R. L., editor, Kippenhahn, R., editor, Lipowsky, R., editor, v. Löhneysen, H., editor, Ojima, I., editor, Weidenmüller, H. A., editor, Wess, J., editor, Zittartz, J., editor, Beiglböck, W., editor, and Calogero, Francesco

Published
2001
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8. Existence of periodic solutions for the Newtonian equation of motion with p-Laplacian operator.

Author

Liu, Wenbin, Gao, Peng, and Zhang, Wei

Subjects
*EXISTENCE theorems, *EQUATIONS of motion, *LAPLACIAN operator, *POTENTIAL functions, *SPECTRUM analysis
Abstract

In this paper, we study the existence of periodic solutions for the Newtonian equation of motion with p-Laplacian operator by asymptotic behavior of potential function, establish some new sufficient criteria of existence of periodic solutions for the differential system under the frame of Fuc̆ik spectrum, generalize and improve some known works, and give an example to illustrate the application of the theorems. Copyright © 2017 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]

Published
2017
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10. Dynamics of low-energy electrons in liquid water with consideration of Coulomb interaction with positively charged water molecules induced by electron collision.

Author

Kai, Takeshi, Yokoya, Akinari, Ukai, Masatoshi, Fujii, Kentaro, Higuchi, Mariko, and Watanabe, Ritsuko

Subjects
*LOW energy electron diffraction, *COULOMB functions, *COLLISIONS (Nuclear physics), *PARTICLES (Nuclear physics), *ELECTRON-ion collisions, *MOLECULES
Abstract

Highlights: [•] Dynamical calculations of electrons in water were performed. [•] Effect of Coulomb interaction between charged particles was investigated. [•] About 20% of the ionized electrons were returned to the ions within 100fs. [Copyright &y& Elsevier]

Published
2014
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11. Is It Possible to Derive Newtonian Equations of Motion with Memory?

Author

Nigmatullin, R. R. and Baleanu, D.

Subjects
*FRACTIONAL calculus, *FRACTIONAL integrals, *DYNAMICS, *MECHANICS (Physics), *POLYMERS
Abstract

In this paper for a given example we proved that the Riemann-Liouville fractional integral term appears naturally and relates the external force with acceleration within the fractional Newtonian equation. The consideration of some self-similar process that leads to the fractional integral as well as some possible generalizations of the proposed model was discussed. [ABSTRACT FROM AUTHOR]

Published
2010
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14. Is it possible to derive Newtonian equations of motion with memory?

Author

Nigmatullin R. and Baleanu D.

Subjects
Fractional calculus, Riemann-Liouville fractional integral, Newtonian equation
Abstract

In this paper for a given example we proved that the Riemann-Liouville fractional integral term appears naturally and relates the external force with acceleration within the fractional Newtonian equation. The consideration of some self-similar process that leads to the fractional integral as well as some possible generalizations of the proposed model was discussed. © Springer Science+Business Media, LLC 2010.

Published
2010

15. Is it possible to derive Newtonian equations of motion with memory?

Author

Nigmatullin R., Baleanu D., Nigmatullin R., and Baleanu D.

Abstract

In this paper for a given example we proved that the Riemann-Liouville fractional integral term appears naturally and relates the external force with acceleration within the fractional Newtonian equation. The consideration of some self-similar process that leads to the fractional integral as well as some possible generalizations of the proposed model was discussed. © Springer Science+Business Media, LLC 2010.

16. Is it possible to derive Newtonian equations of motion with memory?

Author

Nigmatullin R., Baleanu D., Nigmatullin R., and Baleanu D.

Abstract

In this paper for a given example we proved that the Riemann-Liouville fractional integral term appears naturally and relates the external force with acceleration within the fractional Newtonian equation. The consideration of some self-similar process that leads to the fractional integral as well as some possible generalizations of the proposed model was discussed. © Springer Science+Business Media, LLC 2010.

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