Nonoscillation, Disconjugacy and Integral Inequalities
Jan 1976 · American Mathematical Society: Memoirs of the American Mathematical Society Ibhuku elingu-176 · American Mathematical Soc.
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reportIzilinganiso nezibuyekezo aziqinisekisiwe Funda Kabanzi
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In this paper we present a systematical approach to nonoscillation and disconjugacy normconditionn for linear differential systems and equations. We show that the infima of the appropriate integral functionals are constants for nonoscillation and disconjugacy criteria. Applying an interative method we prove that for some variational problems the minimal solutions exist and satisfy the Euler-Lagrange equations. We compute the infima in questions in certain cases. Thus we obtain many known and new nonoscillation and disconjugacy criteria. Finally, we apply our results to establish uniqueness of multipoint boundary value problems for certain nonlinear systems and equations.
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