Existence of weak solutions for a boundary value problem of a second order ordinary differential equation
نویسندگان
چکیده
where the functions f , g : [0, 1]× R→ R and h : [0, 1]× R→ R\{0} satisfy some special assumptions that will be given in detail in Section 3. Boundary value problems arise in a variety of applied mathematics and physics areas (refer to [1, 2] etc.). Some boundary value problems of ordinary equations may be turned into (1.1)-(1.2). For example, in the design of bridge, denote u(t) by the displacement of the bridge from the unloaded position. Small size bridges are often designed with two supported points, which leads to a two-point boundary value problem (cf. [3]):
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