DOI QR코드

DOI QR Code

TWIN POSITIVE SOLUTIONS OF FUNCTIONAL DIFFERENTIAL EQUATIONS FOR THE ONE-DIMENSIONAL ρ-LAPLACIAN

  • Bai, Chuan-Zhi (Department of Mathematics, Huaiyin Teacher′s College) ;
  • Fang, Jin-Xuan (Department of Mathematics, Hanjing Normal University)
  • Published : 2003.05.01

Abstract

For the boundary value problem (BVP) of second order functional differential equations for the one-dimensional $\rho$-Laplaclan: ($\Phi$$_{\rho}$(y'))'(t)+m(t)f(t, $y^{t}$ )=0 for t$\in$[0,1], y(t)=η(t) for t$\in$[-$\sigma$,0], y'(t)=ξ(t) for t$\in$[1,d], suitable conditions are imposed on f(t, $y^{t}$ ) which yield the existence of at least two positive solutions. Our result generalizes the main result of Avery, Chyan and Henderson.

Keywords

function differential equation;one-dimensional p-Laplacian;boundary value problem;multiple solution;fixed point

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