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Oscillation for a second-order neutral differential equation with impulses |
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| Authors: | EM Bonotto LP Gimenes |
| Institution: | a Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto, Universidade de São Paulo, 14040-901 Ribeirão Preto SP, Brazil b Departamento de Matemática, Universidade Estadual de Maringá, 87020-900, Maringá PR, Brazil c Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, Caixa Postal 668, 13560-970 São Carlos SP, Brazil |
| Abstract: | We consider a certain type of second-order neutral delay differential systems and we establish two results concerning the oscillation of solutions after the system undergoes controlled abrupt perturbations (called impulses). As a matter of fact, some particular non-impulsive cases of the system are oscillatory already. Thus, we are interested in finding adequate impulse controls under which our system remains oscillatory. |
| Keywords: | Neutral differential equations Impulses Oscillation criteria Delays |
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