TY - JOUR
T1 - Existence of solutions of boundary value problems for a class of third order nonlinear differential equations
AU - Li, Cuizhe
PY - 1994
Y1 - 1994
N2 - The upper and lower solution method is used to discuss the existence of solutions of three-point boundary value problems for the third order nonlinear differential equation y″′ =f(x, y, y′, y″) satisfying the following linear boundary conditions y(j)(a)=α, y(b)=β and y(k)(c)=y, where j, kε{0, 1, 2}, (j, k)≠{2, 2). As a generalization of the results given by Zhao Weili et al. Corresponding theorems for the following nonlinear boundary conditions {g(y(a), y′(a), y″(a))=0 h(y(b),y′(b), y″(b))=0 k(y(c),y′(c), y″(c))=0 are also given.
AB - The upper and lower solution method is used to discuss the existence of solutions of three-point boundary value problems for the third order nonlinear differential equation y″′ =f(x, y, y′, y″) satisfying the following linear boundary conditions y(j)(a)=α, y(b)=β and y(k)(c)=y, where j, kε{0, 1, 2}, (j, k)≠{2, 2). As a generalization of the results given by Zhao Weili et al. Corresponding theorems for the following nonlinear boundary conditions {g(y(a), y′(a), y″(a))=0 h(y(b),y′(b), y″(b))=0 k(y(c),y′(c), y″(c))=0 are also given.
KW - Banach fixed point theorem
KW - Boundary value problems/upper and lower solutions
KW - Ordinary differential equations
UR - http://www.scopus.com/inward/record.url?scp=71149084092&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:71149084092
SN - 1001-0645
VL - 14
SP - 228
EP - 233
JO - Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology
JF - Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology
IS - 3
ER -