Existence of solution for functional coupled systems with full nonlinear terms and applications to a coupled mass-spring model

Feliz Minhós; Robert de Sousa

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Existence of solution for functional coupled systems with full nonlinear terms and applications to a coupled mass-spring model

机译：具有完全非线性项的功能耦合系统解的存在性及其在耦合质量弹簧模型中的应用

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In this paper we consider some boundary value problems composed by coupled systemsof second order differential equations with full nonlinearities and general functional boundaryconditions verifying some monotone assumptions.The arguments apply lower and upper solutions method and fixed point theory. Due to anadequate auxiliary problem, including a convenient truncature, there is no need of sign, bound,monotonicity or other growth assumptions on the nonlinearities, besides the Nagumo condition.An application to a coupled mass-spring system with functional behavior at the final instantis shown.

机译：本文考虑了由具有充分非线性的二阶微分方程组和一般函数边界条件的耦合系统构成的一些边值问题，这些条件证明了一些单调假设。论点适用于上下解法和不动点理论。由于存在足够的辅助问题，包括方便的截断，因此除了Nagumo条件外，不需要关于非线性的符号，界，单调性或其他增长假设。在最终时刻具有功能行为的耦合质量弹簧系统的应用如图所示。

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《Differential Equations Applications》 |2017年第4期|共20页
作者
Feliz Minhós; Robert de Sousa;
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中图分类微分方程、积分方程;
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7. Existence of solution for functional coupled systems with full nonlinear terms and applications to coupled a mass-spring model [O] . Minhós, Feliz, de Sousa, Robert 2017

机译：具有完全非线性项的功能耦合系统解的存在性以及耦合质量弹簧模型的应用

Existence of solution for functional coupled systems with full nonlinear terms and applications to a coupled mass-spring model

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