PageHeader : Funkcialaj Ekvacioj, 10 (1967), 175-203
Title : Hukuhara'sProblem with Lags
AuthorInfo : By Setuzo YOSIDA
AuthorInfo : (Musashi Institute of Technology)
section : �� Introduction.
section : �� 1. Problem for ordinary differential equations.
subsection : 1. 1 Existence of solution.
subsection : 1. 2 Uniqueness of solution.
subsection : 1. 3 Stability of solution with respect to the lag function $\tau$ .
subsection : 1. 4 Stability of solution with repsect to $u_{0}$ and /.
subsection : 1. 5 Stability of solution with respect to $t_{0}$ . We assume:
section : �� 2. Problem for semi-separate partial differential equations: Existence of solution.
subsection : 2. 1
subsection : 2. 2. Proof of the theorem.
subsection : 2. 3 Proof (continued).
subsection : 2. 4 Proof of inductive hypotheses.
subsection : 2. 5 Uniform convergence of the sequence.
subsection : 2. 6 Relaxation of the conditions.
section : �� 3. Uniqueness and stability of solution for semi-separate equations.
subsection : 3. 1 Uniqueness of solution.
subsection : 3. 2 Stability of solution with respect to $\varphi$ .
subsection : 3. 3 Stability of solution with respect to f.
subsection : 3.4 Stability of solution with respect to $\tau$ .
subsection : 3. 5 Stability of solution with respect to T.
section : �� 4. Problem for hyperbolic equations in two independent variables: Existence of solution.
subsection : 4. 1
subsection : 4. 2 Proof.
section : �� 5. Uniqueness and stability of solution for hyperbolic equations.
subsection : 5. 1 Uniqueness of solution.
subsection : 5. 2 Stability of solution with respect to $\varphi$ and $\phi$ .
subsection : 5. 3 Stability of solution with respect to f.
subsection : 5. 4 Stability of solution with respect to $(t_{0}, \mathrm{r}_{0})$ and $u_{0}$ .
subsection : 5. 5 Stability of solution with respect to $\eta$ .
subsection : 5. 6 Stability of solution with respect to T, X, Y (or S).
section : �� 6. Problem for equations of evolution.
subsection : 6. 1
subsection : 6. 2 Proof.
section : References