Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions
نویسندگان
چکیده
منابع مشابه
Positive solutions of nonlinear fourth order boundary value problems with local and nonlocal boundary conditions
We establish new existence results for multiple positive solutions of fourth order nonlinear equations which model deflections of an elastic beam. We consider the widely studied boundary conditions corresponding to clamped and hinged ends and many nonlocal boundary conditions, with a unified approach. Our method is to show that each boundary value problem can be written as the same type of pert...
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We present a sixth-order non-polynomial spline method for the solutions of two-point nonlinear boundary value problem u(4)+f(x,u)=0, u(a)=α1, u''(a)= α2, u(b)= β1,u''(b)= β2, in off step points. Numerical method of sixth-order with end conditions of the order 6 is derived. The convergence analysis of the method has been discussed. Numerical examples are presented to illustrate the applications ...
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ژورنال
عنوان ژورنال: Proceedings of the Royal Society of Edinburgh: Section A Mathematics
سال: 2008
ISSN: 0308-2105,1473-7124
DOI: 10.1017/s0308210506001041