ON SOLVABILITY OF THE INTEGRODIFFERENTIAL HYPERBOLIC EQUATION WITH PURELY NONLOCAL CONDITIONS

查看全文 作　　者：Ahcene [1]MERAD;Abdelfatah [1]BOUZIANI;Cenap [2]OZEL;Adem [3]KILICMAN 机构地区：[1]Department of Mathematics,Larbi Ben M'hidi University;[2]Department of Mathematics,Faculty of Science,Dokuz Eylul University;[3]Department of Mathematics and Institute for Mathematical Research,Universiti Putra Malaysia,UPM,Serdang,Selangor,43400,Malaysia 出　　处：《Acta Mathematica Scientia》索引2015年第35卷第3期,共9页 基　　金：partially support by the University Putra Malaysia under the Grant Scheme having project number GP-IBT/2013/9420100 摘　　要：In this study,we prove the existence,uniqueness,and continuous dependence upon the data of solution to integro-differential hyperbolic equation with purely nonlocal(integral) conditions.The proofs are based on a priori estimates and Laplace transform method.Finally,we obtain the solution using a numerical technique(Stehfest algorithm) by inverting the Laplace transform. 关 键 词：双曲型方程 积分方程 非局部条件 Stehfest算法 拉普拉斯变换 存在唯一性 连续依赖性 变换方法