Abstract:
We study the existence of periodic solutions for a nonlinear system of nth-order differential equations on time scales. Assuming a suitable Nirenberg-type condition, we prove the existence of at least one solution of the problem using Mawhin's coincidence degree. © 2007 Elsevier Ltd. All rights reserved.
Registro:
| Documento: |
Artículo
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| Título: | On Nirenberg-type conditions for higher-order systems on time scales |
| Autor: | Amster, P.; De Nápoli, P.; Pablo Pinasco, J. |
| Filiación: | Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellon I, 1428 Buenos Aires, Argentina
Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Argentina
Universidad Nacional de General Sarmiento, J.M. Gutierrez 1150, Los Polvorines, Prov. Buenos Aires, Argentina
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| Palabras clave: | Boundary value problems; Coincidence degree; Nirenberg condition; Resonance; Time scales; Boundary value problems; Problem solving; Nirenberg condition; Periodic solutions; Time scales; Nonlinear systems |
| Año: | 2008
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| Volumen: | 55
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| Número: | 12
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| Página de inicio: | 2762
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| Página de fin: | 2766
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| DOI: |
http://dx.doi.org/10.1016/j.camwa.2007.10.022 |
| Título revista: | Computers and Mathematics with Applications
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| Título revista abreviado: | Comput Math Appl
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| ISSN: | 08981221
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| CODEN: | CMAPD
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| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_08981221_v55_n12_p2762_Amster.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08981221_v55_n12_p2762_Amster |
Referencias:
- Landesman, E.M., Lazer, A.C., Nonlinear perturbations of linear elliptic boundary value problems at resonance (1969) J. Math. Mech., 19, pp. 609-623
- Mawhin, J., Landesman-Lazer conditions for boundary value problems: A nonlinear version of resonance (2000) Bol. de la Sociedad Española de Mat. Aplicada, 16, pp. 45-65
- Nirenberg, L., (1971) Generalized Degree and Nonlinear Problems. Contributions to Nonlinear Functional Analysis (Proc. Sympos., Math. Res. Center, Univ. Wisconsin, Madison, Wis.), , Academic Press, New York pp. 1-9
- Hilger, S., Analysis on measure chains-a unified approach to continuous and discrete calculus (1990) Results Math., 18 (1-2), pp. 18-56
- Agarwal, R.P., Bohner, M., Basic calculus on time scales and some of its applications (1999) Results Math., 35 (1-2), pp. 3-22
- Bohner, M., Peterson, A., (2001) Dynamic Equations on Time Scales. An Introduction with Applications, , Birkhäuser Boston, Inc., Boston, MA
- Bohner, M., Guseinov, G., Peterson, A., (2003) Introduction to the Time Scales Calculus. Advances in Dynamic Equations on Time Scales, pp. 1-15. , Birkhäuser Boston, Boston, MA
- Kosmatov, N., Multi-point boundary value problems on time scales at resonance (2006) J. Math. Anal. Appl., 323 (1), pp. 253-266
- Amster, P., De Nápoli, P., Tisdell, C.C., Variational methods for two resonant problems on time scales (2007) Int. J. Difference Equ., 2 (1), pp. 1-12
- Mawhin, J., Topological degree methods in nonlinear boundary value problems (1979) NSF-CBMS Regional Conference in Mathematics, 40. , American Mathematical Society, Providence, RI
- Bohner, M., Fan, M., Zhang, J., Existence of periodic solutions in predator-prey and competition dynamic systems (2006) Nonlinear Anal. Ser. B RWA, 7, pp. 1193-1204
- Bohner, M., Fan, M., Zhang, J., Periodicity of scalar dynamic equations and applications to population models (2007) J. Math. Anal. Appl., 330 (1), pp. 1-9
- Guseinov, G., Integration on time scales (2003) J. Math. Anal. Appl., 285 (1), pp. 107-127
Citas:
---------- APA ----------
Amster, P., De Nápoli, P. & Pablo Pinasco, J.
(2008)
. On Nirenberg-type conditions for higher-order systems on time scales. Computers and Mathematics with Applications, 55(12), 2762-2766.
http://dx.doi.org/10.1016/j.camwa.2007.10.022---------- CHICAGO ----------
Amster, P., De Nápoli, P., Pablo Pinasco, J.
"On Nirenberg-type conditions for higher-order systems on time scales"
. Computers and Mathematics with Applications 55, no. 12
(2008) : 2762-2766.
http://dx.doi.org/10.1016/j.camwa.2007.10.022---------- MLA ----------
Amster, P., De Nápoli, P., Pablo Pinasco, J.
"On Nirenberg-type conditions for higher-order systems on time scales"
. Computers and Mathematics with Applications, vol. 55, no. 12, 2008, pp. 2762-2766.
http://dx.doi.org/10.1016/j.camwa.2007.10.022---------- VANCOUVER ----------
Amster, P., De Nápoli, P., Pablo Pinasco, J. On Nirenberg-type conditions for higher-order systems on time scales. Comput Math Appl. 2008;55(12):2762-2766.
http://dx.doi.org/10.1016/j.camwa.2007.10.022