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Construction of Lower and Upper Functions and Their Application to Regular and Singular Periodic Boundary Value Problems

Elsevier B.V.
Publication Date
  • Analysis
  • Pure_Mathematics/0106062


We present conditions ensuring the existence of possibly onsmooth upper and lower functions for the periodic boundary value problem u""=f(t,u), u(0)=u(2π), u"(0)=u"(2π). This enables us to obtain new existence and multiplicity results for regular and singular periodic boundary value problems.

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