PageHeader : Funkcialaj Ekvacioj, a (1965), 5-37
Title : Hukuhara'sProblem for Partial
Title : Differential Equations
AuthorInfo : By Setuzo YOSIDA
AuthorInfo : (University of Tokyo)
section : �� Introduction.
section : ��1. Hukuhara's problem for Cinquini's equations.
subsection : 1. 1. Construction of the approximating sequence.
subsection : 1. 2. Uniform convergence of the sequence.
section : ��2. Uniqueness and stability of solution.
subsection : 2. 1. Uniqueness of solution.
subsection : 2. 3. Stability of solution with respect to $f^{i\prime}s$ .
subsection : 2. 4. Relaxation of the conditions.
section : ��3. Quasi-linear and semi-linear equations.
subsection : 3. 1. Existence of solution for quasi-linear equations.
subsection : 3. 2. Uniqueness and stability of solution for quasi-linear equations.
subsection : 3. 3. Existence of solution for semi-linear equations.
subsection : 3. 4. Uniqueness and stability of solution for semi-linear equations.
subsection : 3. 5. Conditions for finite domains.
section : ��4. Generalized Szmydt-Lasota's data for second order hyperbolic equations in two independent variables. Existence of solution. In this
subsection : 4. 1. Definition of the problem.
subsection : 4. 2. Determination of $t^{i^{\prime}}s$ and $x^{i^{\prime}}s$ .
subsection : 4. 3. Transformation $\hat{T}$ .
subsection : 4. 4. Continuity of $\hat{T}$ . Existence of solution.
section : ��5. Uniqueness and stability of solution.
subsection : 5. 1. Uniqueness of solution-
subsection : 5. 2. Stability of solution with respect to $\varphi^{i\prime}$ s and $\psi^{i;}$ s.
subsection : 5. 3. Stability of solution with respect to $T^{i;}s$ and $X^{ir}s$ .
subsection : 5. 5. Stability of solution with respect to $f^{i^{\gamma}}s$ .
section : References