Multiplicity of Solutions for Second Order Two-point Boundary Value Problems with Asymptotically Asymmetric Nonlinearities at Resonance

نویسندگان

  • FELIX SADYRBAEV
  • F. SADYRBAEV
چکیده

Estimations of the number of solutions are given for various resonant cases of the boundary value problem x′′ + g(t, x) = f(t, x, x′), x(a) cos α − x′(a) sin α = 0, x(b) cos β − x′(b) sin β = 0, where g(t, x) is an asymptotically linear nonlinearity, and f is a sublinear one. We assume that there exists at least one solution to the BVP. 2000 Mathematics Subject Classification: 34B15.

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تاریخ انتشار 2007