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Multiple positive solutions of a discrete second order conjugate problem. (English) Zbl 0959.39006
Summary: We are concerned with the discrete second-order conjugate boundary value problem \[ \Delta^2x(t- 1)+ f(x(t))= 0,\quad x(a)= 0= x(b+ 2). \] Under various assumptions on \(f\) we prove the existence of three positive solutions of this boundary value problem applying the fixed point theorem of Y. Sun and J. Sun [J. Math. Anal. Appl. 148, No. 2, 431-439 (1990; Zbl 0709.47052)] for weakly inward operators.

MSC:
39A11 Stability of difference equations (MSC2000)
Citations:
Zbl 0709.47052
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