Geodesic
On some three-point problems for third-order differential equations
Mathematica Bohemica, Tome 117 (1992) no. 1, pp. 98-110.

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This paper is concerned with existence and uniqueness of solutions of the three-point problem $u'''=f(t,u,u',u''), u(c)=0,u'(a)=u'(b). u''(a)=u''(b), a\leq c\leq b$. The problem is at resonance, in the sense that the associated linear problem has non-trivial solutions. We use the method of lower and upper solutions.
DOI : 10.21136/MB.1992.126232
Classification : 34B10, 34B15
Keywords: existence; uniqueness; three-point mixed problem; method of lower and upper solutions; lower and upper solutions; resonance; Carathéodory conditions 
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Rachůnková, Irena. On some three-point problems for third-order differential equations. Mathematica Bohemica, Tome 117 (1992) no. 1, pp. 98-110. doi : 10.21136/MB.1992.126232. http://geodesic.mathdoc.fr/articles/10.21136/MB.1992.126232/

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