We use the semigroup theory to study the homogeneous two-parameter abstract Cauchy problem 2-RACPWhere u is a function from [0 , a 1 ] × [0 , a 2 ] to ordered Banach space E whose positive cone is normal and generating and a 1 , a 2 > 0,
Mathematics Subject Classification: 34A12, 34A30, 47D03, 47D62, 47D99, 35D05Keywords: N-parameter semigroup, two-parameter resolvent positive operator, two-parameter integrated semigroup and two-parameter abstract Cauchy problem
1.IntroductionLet X be a Banach space, B(X) is the Banach space of all bounded linear operators on X and IR
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