#TITLE_ALTERNATIVE#
Abstrak: <br /> <br /> <br /> <br /> <br /> We consider the following second order nonlinear differential inequalities uLu0,to <br /> <br /> <br /> <br /> <br /> where the operator L is given by : Lu = u + a(t)f(u), <br />...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/7775 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | Abstrak: <br />
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We consider the following second order nonlinear differential inequalities uLu0,to <br />
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where the operator L is given by : Lu = u + a(t)f(u), <br />
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the function a e C[0,oo) is not necessarily nonnegative and the function f E Cl(0,oo) satisfies uf(u) > 0, fu) > 0 V u =O. Oscillation criteria for the above differential inequalities will be established by modification of the method that has been used previously for the above differential inequalities and differential equation Lu = O. The above differential inequalities is called oscillatory in [0,00) if every solution of the differential inequalities is oscillatory in [0,co) and a solution u(t) of the above differential inequalities is called oscillatory in [0,00) if for every t 0, there exists a to t such that u(to) = O. The results obtained will contain and improve the previous results for the above inequalities, and extended oscillation criteria for differential equation Lu = 0 to the above differential inequalities. |
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