Sitzungsberichte der
Heidelberger Akademie der Wissenschaften

Integrale linearer Differentialgleichungen mit Parameter. III. (A. 6) 13

und zwar gleichmäßig im Intervall n < .r < A. Damit ist unsere
Behauptung bewiesen, und wir erhalten

SATZ 1.
5//.s767775

(,t.)

<7 y,:
(/ T

Die ^ ^(T,/) Di//erenhhigieicAMng.$-
= (^) y,- + Z //* (i = 1,2,..., ??) ,

^voAe/ 777 67776 AeZ/eA/^o po57/7C6 gu7tze Z77/7Z /'.s7, 777 öge77 7777 D7/e7V77.ZZ
77<T^A /'(-//7/^7/i7^ gote 755677 7/57/777/7/0/75777677 /Ze/Ae/7 ^Ze/cA 56 777.*

(D.) - Z i " (/"5* D Ac) .
i'=0
D76D/777A/7077677 /,(/r), 5C7677 7777 ^/67CA677 /77/67'07/ZZ 5/0/77/ 777?//
77 77 7'77 (/// 7-/7 o// ch//ere77Z767'&77 7'. d 77 ^67*7/6777 .$67 5/6/5
(C.) ih (/^ (.r)) > M? (/, (T)) (7-2,3,..., 77) .
Z//7/67' (/77-5677 l 07'7777.S'.$'6/37777 0'e77 cf/'A/ 65 777/eg7'77Z.S'//5/6777 6 7/j , .... //,,,
/ü/- U'oZcAe 7777 /77/67'C7/ZZ 7/ < .7* < A gir77-/7777o'/i70 7/76 7/5?/777/7 /0 / 75 6/7 677
Do7'5/6ZZ7777 0'677 ^oZ/677.'
w-1
D' Z A, (./-) / *"
(D.) 7/, - 6 - Z (/"T i-^co),
)-=0
SCoAo/ t/76 /'66A/5 5'/6Ae77t/e77 /D/.S'/Z/O/cA'O 50 ^77 A67'66A/7677 57777/, 7?%/? 7/ 6777
D?//67'677/777Z^Z676A?777g55?/5/6777 /o 7* 777 77 / g^tM/?/ (V77*//. Dt/AeZ T/Ür/677 7/76
Ae/ 7/67*/OT*77777 / 677 D67*66A777777c 7/07* D7777A/7077677 A^(/r), 70^ ^.(/c) 77 77//r6/677-
7/677 777/6g7-67./70775Ao775/7777/677 AoZZeAZ^ g-eU'öAZ/ W67*//677. ^pe^/oZZ 75/
(D.) Ao(T)-j*/i(T)r/T,
(D.) 0 A 0 , rog () - 0 , .. . , oj^ = 0 .
D/6 7757/777p/o/75cA6 D/67cA7777^ (D.) g7Z/ 7777 g7777ZC77 ^77/67*077//
77 < TC < A g/e/cAw d/hg' /Ü7* /6T/65 //? /6g/*?/Z, Ao/ 7/6777 57e 7777 7/67* S2c//c
A-77 g/Z/.