A GENERAL EXISTENCE THEOREM FOR POSITIVESOLUTIONS TO SINGULAR SECOND ORDER ORDINARYAND FUNCTIONAL DIFFERENTIAL EQUATIONS

Haisheng Lv, Donal O'Regan

Abstract


A general existence result is presented for the singular equation u''(t) + g(t) f(u(t))=0 and u''(t) + g(t) f(u(w(t)))= 0; when G(.,.)g(.) in L1(0,1). Here f need not be suplinear or sublinear.

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ISSN: 1229-1595 (Print), 2466-0973 (Online)