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A barrier method for quasilinear ordinary differential equations of the curvature type. (English) Zbl 1046.34009
For equations of the form $\left (\frac {y'}{\sqrt {1+(y')^2}}\right)'=f(t,y),$ where $$f$$ is continuous on $$[a,\infty )\times \mathbb R$$, the existence of a solution of the initial value problem $$y(a)=A$$ is proved using the concept of sub- and supersolution. Examples are presented.

##### MSC:
 34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
##### Keywords:
existence theorem; barrier method; supersolution; subsolution
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##### References:
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