ON SOLVABILITY OF THE INTEGRODIFFERENTIAL HYPERBOLIC EQUATION WITH PURELY NONLOCAL CONDITIONS

• 作 者: Ahcene MERAD Abdelfatah BOUZIA
• 机 构: DepartmentofMathematics,DepartmentofMathematics,DepartmentofMathematicsandInstituteforMathematicalRe
• 出 处: 数学物理学报：B辑英文版
• 发表日期: 2015年3期
• 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 Integro-differential hyperbo
• 基金项目: The fourth author gratefully acknowledges the partially support by theUniversity Putra Malaysia under the Grant Scheme having project number GP-IBT/2013/9420100.

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 meth