Impulsive BVPs with nonlinear boundary conditions for the second order differential equations without growth restrictions
Impulsive BVPs with nonlinear boundary conditions for the second order differential equations without growth restrictions
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DOI：
10.1016/j.jmaa.2003.12.023
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发表时间：
2004-04
影响因子：
1.3
通讯作者：
I. Rachunková;J. Tomeček
中科院分区：
文献类型：
--
作者：
I. Rachunková;J. Tomeček
研究脉冲非线性边值问题[公式：见正文]其中J=[a，B]，f∈ Car（J× R2），g1，g2∈C（R2），Ij，Mj∈C（R）.我们证明了这个问题的一个解决方案的存在性的假设下，存在下，上的功能与问题。我们的证明是基于Schauder不动点定理和先验估计的方法。对f、g1、g2、Ij、Mj不施加生长限制。
The paper deals with the impulsive nonlinear boundary value problem [Formula: see text] [Formula: see text] [Formula: see text] where J=[a,b], f∈ Car (J× R2) , g1,g2∈C( R2) , Ij,Mj∈C( R ) . We prove the existence of a solution to this problem under the assumption that there exist lower and upper functions associated with the problem. Our proofs are based on the Schauder fixed point theorem and on the method of a priori estimates. No growth restrictions are imposed on f,g1,g2,Ij,Mj.