论文信息 - Existence of multiple symmetric positive solutions of higher order Lidstone problems

Existence of multiple symmetric positive solutions of higher order Lidstone problems

This paper gives the sufficient conditions of the existence of at least three symmetric positive solutions for one type of higher order autonomous Lidstone problem by applying the five functionals fixed point theorem. The analogous result for higher order nonautonomous singular Lidstone problem is also proved here.

Binggen Zhang | Xueyan Liu | Xueyan Liu | Binggen Zhang

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

[2] Johnny Henderson,et al. Multiple symmetric positive solutions for a second order boundary value problem , 2000 .

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

[4] John M. Davis,et al. Three symmetric positive solutions for Lidstone problems by a generalization of the Leggett-Williams theorem. , 2000 .

[5] Johnny Henderson,et al. Extremal points for impulsive Lidstone boundary value problems , 2000 .

[6] E. Coddington,et al. Theory of Ordinary Differential Equations , 1955 .

[7] L. Erbe. Boundary value problems for ordinary differential equations , 1971 .

[8] W. Wistar Comfort,et al. Images and quotients of $SO(3,R)$: remarks on a theorem of Van der Waerden , 1987 .

[9] Johnny Henderson,et al. Three symmetric positive solutions for a second-order boundary value problem , 2000, Appl. Math. Lett..