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首页> 外文期刊>Journal of applied mathematics >Existence of solutions of nonlinear mixed two-point boundary value problems for third-order nonlinear differential equation
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Existence of solutions of nonlinear mixed two-point boundary value problems for third-order nonlinear differential equation

机译:三阶非线性微分方程非线性混合两点边值问题解的存在性

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摘要

The authors use the upper and lower solution method to study the existence of solutions of nonlinear mixed two-point boundary value problems for third-order nonlinear differential equation y''' = f (x, y, y', y''), y' (b) = h (y' (a)), p (y (a), y (b), y' (a), y' (b)) = 0, g (y (a), y (b), y' (a), y' (b), y'' (a), y '' (b)) = 0. Some new existence results are obtained by developing the upper and lower solution method. Some applications are also presented.
机译:作者使用上下解方法研究了三阶非线性微分方程y'''= f(x,y,y',y'')的非线性混合两点边值问题的解的存在性, y'(b)= h(y'(a)),p(y(a),y(b),y'(a),y'(b))= 0,g(y(a),y (b),y'(a),y'(b),y''(a),y''(b))=0。通过发展上下求解方法,获得了一些新的存在结果。还介绍了一些应用程序。

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