Nonlinear oscillations in disconjugate forced functional equations with deviating arguments
For the equation Lnv(t)+a(t)h(y(g(t)))=f(t) where Lny(t)=pn(t)(pn−1(t)(…(p1(t)(po(t)y(t))′)′…)′)′ sufficient conditions have been found for all of its solutions to be oscillatory. The conditions found also lead to growth estimates for tle nonoscillatory solutions.
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1983-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171283000083 |
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| _version_ | 1849405141639233536 |
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| author | Bhagat Singh |
| author_facet | Bhagat Singh |
| author_sort | Bhagat Singh |
| collection | DOAJ |
| description | For the equation
Lnv(t)+a(t)h(y(g(t)))=f(t)
where
Lny(t)=pn(t)(pn−1(t)(…(p1(t)(po(t)y(t))′)′…)′)′
sufficient conditions have been found for all of its solutions to be oscillatory. The conditions found also lead to growth estimates for tle nonoscillatory solutions. |
| format | Article |
| id | doaj-art-4733ec8d9b2b47df9b215c4da73cbe93 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1983-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-4733ec8d9b2b47df9b215c4da73cbe932025-08-20T03:36:45ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251983-01-016110110910.1155/S0161171283000083Nonlinear oscillations in disconjugate forced functional equations with deviating argumentsBhagat Singh0Department of Mathematics, University of Wisconsin Center, Manitowoc 54220, Wisconsin, USAFor the equation Lnv(t)+a(t)h(y(g(t)))=f(t) where Lny(t)=pn(t)(pn−1(t)(…(p1(t)(po(t)y(t))′)′…)′)′ sufficient conditions have been found for all of its solutions to be oscillatory. The conditions found also lead to growth estimates for tle nonoscillatory solutions.http://dx.doi.org/10.1155/S0161171283000083oscillatorynonoscillatorydisconjugatenonlinear oscillations. |
| spellingShingle | Bhagat Singh Nonlinear oscillations in disconjugate forced functional equations with deviating arguments International Journal of Mathematics and Mathematical Sciences oscillatory nonoscillatory disconjugate nonlinear oscillations. |
| title | Nonlinear oscillations in disconjugate forced functional equations with deviating
arguments |
| title_full | Nonlinear oscillations in disconjugate forced functional equations with deviating
arguments |
| title_fullStr | Nonlinear oscillations in disconjugate forced functional equations with deviating
arguments |
| title_full_unstemmed | Nonlinear oscillations in disconjugate forced functional equations with deviating
arguments |
| title_short | Nonlinear oscillations in disconjugate forced functional equations with deviating
arguments |
| title_sort | nonlinear oscillations in disconjugate forced functional equations with deviating arguments |
| topic | oscillatory nonoscillatory disconjugate nonlinear oscillations. |
| url | http://dx.doi.org/10.1155/S0161171283000083 |
| work_keys_str_mv | AT bhagatsingh nonlinearoscillationsindisconjugateforcedfunctionalequationswithdeviatingarguments |