Twin positive solutions for higher order m-point boundary value problems with sign changing nonlinearities

A new fixed point theorem on double cones is applied to obtain the existence of at least two positive solutions for the 2nd order m-point boundary value problemy^(^2^n^)(t)=f(t,y(t),y^'^'(t),...,y^(^2^(^n^-^1^)^)(t)),0=

[1]  J. Dugundji.  An extension of Tietze's theorem. , 1951 .

[2]  Wenying Feng,et al.  On an M -point boundary value problem , 1997 .

[3]  R. Ma,et al.  Positive solutions of a nonlinear three-point boundary-value problem. , 1999 .

[4]  John M. Davis,et al.  General Lidstone problems : Multiplicity and symmetry of solutions , 2000 .

[5]  Ruyun Ma,et al.  Positive solutions of a nonlinear m-point boundary value problem , 2001 .

[6]  Ruyun Ma,et al.  Positive solutions for second-order three-point boundary value problems , 2001, Appl. Math. Lett..

[7]  E. Berchio,et al.  ftp ejde.math.txstate.edu (login: ftp) SOME REMARKS ON BIHARMONIC ELLIPTIC PROBLEMS WITH POSITIVE, INCREASING AND CONVEX NONLINEARITIES , 2022 .

[8]  C. P. Gupta,et al.  A Sharper Condition for the Solvability of a Three-Point Second Order Boundary Value Problem , 1997 .

[9]  R. Ma,et al.  Existence Theorems for a Second Order Three-Point Boundary Value Problem☆ , 1997 .

[10]  J. Webb,et al.  Solvability ofm-Point Boundary Value Problems with Nonlinear Growth , 1997 .

[11]  K. Deimling.  Nonlinear functional analysis , 1985 .

[12]  John M. Davis,et al.  Triple positive solutions and dependence on higher order derivatives , 1999 .

[13]  R. Ma,et al.  Existence of Solutions of Nonlinear m-Point Boundary-Value Problems☆ , 2001 .

[14]  C. P. Gupta,et al.  Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation , 1992 .

[15]  C. P. Gupta,et al.  A generalized multi-point boundary value problem for second order ordinary differential equations , 1998 .