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On the nonexistence of Lp solutions of certain nonlinear differential equations

Published online by Cambridge University Press:  18 May 2009

Thomas G. Hallam
Affiliation:
Florida State UniversityTallahassee, Florida
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The asymptotic behavior of the solutions of ordinary nonlinear differential equations will be considered here. The growth of the solutions of a differential equation will be discussed by establishing criteria to determine when the differential equation does not possess a solution that is an element of the space Lp(0, ∞)(p ≧ 1).

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1967

References

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