In this paper, we are concerned with the existence of solutions of the following multi-point boundary value problem consisting of the higher-order differential equation \[ x^{(n)}(t)=f(t,x(t),x^{\prime }(t),\dots ,x^{(n-1)}(t))+e(t)\,,\quad 0
@article{107952, author = {Yuji Liu and Weigao Ge}, title = {Solutions of a multi-point boundary value problem for higher-order differential equations at resonance. (II)}, journal = {Archivum Mathematicum}, volume = {041}, year = {2005}, pages = {209-227}, zbl = {1117.34013}, mrnumber = {2164671}, language = {en}, url = {http://dml.mathdoc.fr/item/107952} }
Liu, Yuji; Ge, Weigao. Solutions of a multi-point boundary value problem for higher-order differential equations at resonance. (II). Archivum Mathematicum, Tome 041 (2005) pp. 209-227. http://gdmltest.u-ga.fr/item/107952/
Positive solutions of differential, difference and integral equations, Kluwer Academic, Dordrecht 1999. (1999) | MR 1680024 | Zbl 1157.34301
Boundary value problems for higher order differential equations, World Scientific, Singapore 1986. (1986) | MR 1021979 | Zbl 0619.34019
Focal boundary value problems for differential and difference equations, Kluwer, Dordrecht 1998. (1998) | MR 1619877 | Zbl 0914.34001
Singular $(p,n-p)$ focal and $(n,p)$ higher order boundary value problems, Nonlinear Anal. 42 (2000), 215–228. | MR 1773979 | Zbl 0977.34017
Positive solutions for $(n-1,1)$ conjugate boundary value problems, Nonlinear Anal. 28 (1997), 1669–1680. (1997) | MR 1430508 | Zbl 0871.34015
Solvability of three-point boundary value problems at resonance, Nonlinear Anal. 30 (1997), 3227–3238. (1997) | MR 1603039 | Zbl 0891.34019
Solvability of $m$-point boundary value problems with nonlinear growth, J. Math. Anal. Appl. 212 (1997), 467–489. (1997) | MR 1464891 | Zbl 0883.34020
A sharper conditions for the solvability of three-point second order boundary value problem, J. Math. Anal. Appl. 205 (1997), 579–586. (1997) | MR 1428372
Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation, J. Math. Anal. Appl. 168 (1992), 540–551. (1992) | MR 1176010 | Zbl 0763.34009
Non-local boundary value problems of the second kind for a Sturm-Liouville operator, Differential Equations 23 (1987), 979–987. (1987)
Non-local boundary value problems of first kind for a Sturm-Liouville operator in its differential and finite difference aspects, Differential Equations 23 (1987), 803–810. (1987)
Solvability of multi-point boundary value problems at resonance (III), Appl. Math. Comput. 129 (2002), 119–143. | MR 1897323
Solvability of multi-point boundary value problems at resonance (IV), Appl. Math. Comput. 143 (2003), 275–299. | MR 1981696
Solvability of multi-point boundary value problems at resonance (I), Indian J. Pure Appl. Math. 33(4) (2002), 475–494. | MR 1902688 | Zbl 1021.34013
Solvability of multi-point boundary value problems at resonance (II), Appl. Math. Comput. 136 (2003), 353–377. | MR 1937938
Positive solutions for $(n-1,1)$ three-point boundary value problems with coefficient that changes sign, J. Math. Anal. Appl. 282 (2003), 816–825. | MR 1989689 | Zbl 1033.34031
Solutions of a multi-point boundary value problem for higher-order differential equations at resonance (I), preprint. | MR 2164671 | Zbl 1147.34005
Solutions of a multi-point boundary value problem for higher-order differential equations at resonance (III), preprint. | MR 2147408 | Zbl 1088.34010
Existence theorems for a second order three point boundary value problem, J. Math. Anal. Appl. 212 (1997), 430–442. (1997) | MR 1464888 | Zbl 0879.34025
Existence theorems for a second order $m$-point boundary value problem, J. Math. Anal. Appl. 211 (1997), 545–555. (1997) | MR 1458512 | Zbl 0884.34024
Positive solutions of nonlinear three-point boundary value problems, Electron. J. Differential Equations 34 (1998), 1–8. (1998) | MR 1713593
Toplogical degree methods in nonlinear boundary value problems, in: NSFCBMS Regional Conference Series in Math., American Math. Soc. Providence, RI 1979. (1979) | MR 0525202
Toplogical degree and boundary value problems for nonlinear differential equations, in: P. M. Fitzpertrick, M. Martelli, J. Mawhin, R. Nussbanm (Eds.), Toplogical Methods for Ordinary Differential Equations, Lecture Notes in Math. 1537, Springer-Verlag, New York/Berlin, 1991. (1991) | MR 1226930