Some Implicit Functional Theorems |
Contents
A Lemma 13 | 5 |
A Lenna | 32 |
An existence theorem for the system of general integro | 36 |
1 other sections not shown
Common terms and phrases
absolute value Ay₂ Az(s)ds Cambridge Colloquium Lectures class L satisfy condition x1 continuous solution CORNELL UNIVERSITY LIBRARY Cramer's rule D₁x equa equal to zero equation 3-1 equation is satisfied Evans exists a neighborhood F₁[x following assumptions function G(x,y,z function or functional functional equations functional neighborhood functionals Vi[x functions of class functions y(x)=0 GOZ is continuous H₁[x hypotheses of theorem implicit functional theorem integro-differential equation interval x1 interval xxx kernel Knox College lemma neighborhood of y(x)=0 orem P₂ positive constant equal put identically equal R₁ reduces region x1 right member satisfies the condition satisfies uniquely satisfy the inequality set of continuous set of functions system of equations system of functional system of inequalities theorem 6.1 tions totality of continuous uniformly convergent uniquely the system upper bound Volterra linear equation X₁ y₁(x z(s)lds Z₁ ΙΔ бо Ук