On the solvability of two-point, second-order boundary value problems
نویسندگان
چکیده
منابع مشابه
On the solvability of two-point, second-order boundary value problems
We gain solvability to a system of nonlinear, second-order ordinary differential equations subject to a range of boundary conditions. The ideas involve differential inequalities and fixed point methods. In particular, maximum principles are not employed. AMS 2000 Classification: 34B15
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where a, b, A,B ∈ R, n ≥ 2 is an integer and f is a continuous, scalar-valued function. In recent years there have been many papers devoted to the solvability of twopoint boundary value problems for second-order or higher-order difference equations. We refer the reader to the textbooks [1,2,3], the papers [6,7] and the references therein. In [4] the following discrete boundary value problem (BV...
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A new comparison theorem is proved and then used to investigate the solvability of a third-order two-point boundary value problem u′′′(t) + f(t, u(t), u′(t), u′′(t))) = 0, u(0) = u′(2π) = 0, u′′(0) = u′′(2π). Some existence results are established for this problem via upper and lower solutions method and fixed point theory. 2000MR Subject Classification: 34B15, 34C05
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2007
ISSN: 0893-9659
DOI: 10.1016/j.aml.2006.08.028