POSITIVE PSEUDO–SYMMETRIC SOLUTIONS FOR A NONLOCAL p–LAPLACIAN BOUNDARY VALUE PROBLEM

نویسندگان

  • L. X. TRUONG
  • P. D. PHUNG
  • B. T. QUAN
چکیده

This paper is devoted to the study of the following nonlocal p -Laplacian functional differential equation −φp(x′(t)) )′ = λ f (t,x(t),x ′ (t)) (∫ 1 0 f (s,x(s),x′ (s))ds )n , 0 < t < 1, subject to multi point boundary conditions. We obtain some results on the existence of at least one (when n ∈ Z+ ) or triple (when n = 0) pseudo-symmetric positive solutions by using fixedpoint theory in cone. Mathematics subject classification (2010): 34B07, 34B10, 34B18, 34B27.

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تاریخ انتشار 2013