Approximate Solutions of Delay Parabolic Equations with the Dirichlet Condition

@inproceedings{Agirseven2012ApproximateSO,
  title={Approximate Solutions of Delay Parabolic Equations with the Dirichlet Condition},
  author={Deniz Agirseven},
  year={2012}
}
and Applied Analysis 3 To formulate our results, we introduce the Banach space ◦ C α h ◦ C α 0, L h, α ∈ 0, 1 , of all grid functions φ {φn} n 1 defined on 0, L h with φ0 φM 0 equipped with the norm ∥ ∥ ∥φ ∥ ∥ ∥ ◦ C α h ∥ ∥ ∥φ ∥ ∥ ∥ Ch sup 1≤n<n r≤M−1 ∣ φn r − φn ∣ ∣ rh −α, ∥ ∥ ∥φ ∥ ∥ ∥ Ch max 1≤n≤M−1 ∣ φn ∣ ∣. 2.2 Moreover,Cτ E C 0,∞ τ , E is the Banach space of all grid functions f {fk}k 1 defined on 0,∞ τ {tk kτ, k 0, 1, . . .} 2.3 with values in E equipped with the norm ∥ ∥f ∥ ∥ Cτ E sup 1… CONTINUE READING

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