SOLUTIONS OF MULTIPOINT BOUNDARY VALUE PROBLEMS FOR SECOND ORDER EQUATIONS

JOHNNY HENDERSON

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SOLUTIONS OF MULTIPOINT BOUNDARY VALUE PROBLEMS FOR SECOND ORDER EQUATIONS

机译：二阶方程多点边值问题的解决方案

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Shooting methods are employed to obtain solutions of the second order differential equation, y" = f(x,y,y'), satisfying the multipoint nonlocal boundary conditions, y(x{sub}0) = y{sub}1, y(x{sub}(n+1)) - ∑ {sub}(i=1){sup}n y(x{sub}i)= y{sub}2, a < x{sub}0 < x{sub}1 < x{sub}(n+1) < b, and y{sub}1,y{sub}2 ∈ R, where f: (a, b) × R{sup}2 → R is continuous. It is assumed that solutions of such problems are unique, when they exist.

机译：使用射击方法来获得二阶微分方程y“ = f（x，y，y'）的解，以满足多点非局部边界条件y（x {sub} 0）= y {sub} 1，y （x {sub}（n + 1））-∑ {sub}（i = 1）{sup} ny（x {sub} i）= y {sub} 2，a

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《Dynamic Systems and Applications》 |2006年第1期|共8页
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JOHNNY HENDERSON;
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中图分类理论力学（一般力学）;
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SOLUTIONS OF MULTIPOINT BOUNDARY VALUE PROBLEMS FOR SECOND ORDER EQUATIONS

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