EXISTENCE AND UNIQUENESS RESULTS FOR BOUNDARY VALUE PROBLEMS OF HIGHER ORDER FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS INVOLVING GRONWALL'S INEQUALITY IN BANACH SPACES

We study boundary value problems for fractional integro-differential equations involving Caputo derivative of order α∈ （n-1, n） in Banach spaces. Existence and uniqueness results of solutions are established by virtue of the Holder＇s inequality, a suitable singular Cronwall＇s inequality and fixed point theorem via a priori estimate method. At last, examples are given to illustrate the results.

聚马来酸对棉的无甲醛抗皱整理

棉织物的抗皱整理已不能满足当代人对"易护理"纺织材料的需求。传统可改善棉织物抗皱性的耐久定型整理大多基于N-羟甲基甲醛化合物,如二-羟甲基二羟基乙烯脲(DMDHEU)或其衍生物与棉纤维在高温下缩合反应而获得。然而,此定型整理过程中释放的甲醛已被认为是潜在的人类致癌物。过去20年来,人们致力于开发无甲醛交联剂,最具发展潜力的无甲醛试剂当属1,2,3,4 BTCA的多羧酸及马来酸的聚合物。由于1,2,3,4 BTCA的成本高于聚马来酸,因此商业应用较复杂。与纤维素底物进行酯交联的反应由次磷酸钠进行催化。讨论了聚马来酸的应用,研究了它对棉织物各种性能(如抗皱回复角、拉伸强度、撕裂强度及耐磨性等)的影响,并比较了经聚马来酸和DMDHEU处理的织物的性能。