Existence and uniqueness theorems for some fourth-order nonlinear boundary value problems
2000 ◽
Vol 23
(11)
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pp. 783-788
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Keyword(s):
Let G and f:[0,1]×ℝ4→ℝ be two functions satisfying Caratheodory conditions. This paper is concerned with the problems of existence and uniqueness of solutions for the nonlinear fourth-order ordinary differential equation y′′′′+λy′′+ky+G(x,y,y′,y′′,y′′′)=f(x,y,y′,y′′,y′′′) with one of a particular set of boundary conditions.
1964 ◽
Vol 281
(1385)
◽
pp. 184-206
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2015 ◽
Vol 2015
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pp. 1-7
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2005 ◽
Vol 18
(4)
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pp. 439-444
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1978 ◽
Vol 65
(1)
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pp. 20-25
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2018 ◽
Vol 2018
(1)
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pp. 48-56