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Homogenuous n-parameters Abstract Cauchy Problem | ||
| journal of kerbala university | ||
| Article 1, Volume 12, Issue 2, 2016, Pages 22-33 PDF (0 K) | ||
| Author | ||
| Ayat A. Neamah | ||
| Abstract | ||
| We use the semigroup theory to study the homogeneus n-parameter ACP where X is a Banach space, H_i:D(H_i )⊆X→X ,i=1,2,…,n is a densely – defined closed linear operator. We discuss the existence and uniqueness of solution of n-ACP. In fact, we claim that if (H_1,H_2,… ,H_n) is the generator of a C_0- n parameter semigroup W(t_1,t_2,… ,t_n ) ∶ then n-ACP with some conditions has a unique solution. | ||
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