In this paper, using the theory of differential inequalities, we study the nonlinear boundary value problem for a class of integro-differential system. Under appropriate assumptions, the existence of solution is prove...In this paper, using the theory of differential inequalities, we study the nonlinear boundary value problem for a class of integro-differential system. Under appropriate assumptions, the existence of solution is proved and the uniformly valid asymptotic expansions for arbitrary n-th order approximation and the estimation of remainder term are obtained simply and conveniently.展开更多
In recent years,fax fber as a green and renewable resources have attracted considerable attention to be used as reinforcement in composites,using various technology.This review presents a summary of recent development...In recent years,fax fber as a green and renewable resources have attracted considerable attention to be used as reinforcement in composites,using various technology.This review presents a summary of recent developments of fax fber-based functional composites toward energy,biomedical,and environment.Firstly,we analyze the design and fabrication strategies,which are used for preparation of fax-based functional composites.The most promising applications of fax fber-based composites are discussed subsequently.It is believed that fax fber as a functional composites will play a crucial role in the feld of energy,biomedical,and environment mainly attributed to its unique properties,such as specifc mechanical properties,good biocompatibility,eco-friendliness,cost-efectiveness,and amenability to various functional design and manufacturing needs.展开更多
基金Supported by the National Natural Science Foundation of China (No. 10471039)the Natural Science Foundations of Zhejiang (No Y604127)Supported in part by E-Institutes of Shanghai Municipal Education Commission (No.E03004).
文摘In this paper, using the theory of differential inequalities, we study the nonlinear boundary value problem for a class of integro-differential system. Under appropriate assumptions, the existence of solution is proved and the uniformly valid asymptotic expansions for arbitrary n-th order approximation and the estimation of remainder term are obtained simply and conveniently.
基金This work was supported by the Natural Science Foundation of Heilongjiang Province(Grant No.LH2021B032)Heilongjiang Provincial Universities Basal Research Foundation-Youth Innovation Talent Project(Grant No.145109210)+1 种基金National Natural Science Foundation of China(Grant No.22005077)China Postdoctoral Science Foundation(Grant No.2021M690818).
文摘In recent years,fax fber as a green and renewable resources have attracted considerable attention to be used as reinforcement in composites,using various technology.This review presents a summary of recent developments of fax fber-based functional composites toward energy,biomedical,and environment.Firstly,we analyze the design and fabrication strategies,which are used for preparation of fax-based functional composites.The most promising applications of fax fber-based composites are discussed subsequently.It is believed that fax fber as a functional composites will play a crucial role in the feld of energy,biomedical,and environment mainly attributed to its unique properties,such as specifc mechanical properties,good biocompatibility,eco-friendliness,cost-efectiveness,and amenability to various functional design and manufacturing needs.