Let f be continu and real and satisfy :

For x = Y

(1)

(2)

For real

1) does that imply f is C^oo in ?

2) does that imply f is analytic in ?

3) is the solution Unique ? If not, how many variables are there ?

4) how to prove existance ?

5) does it follow ?

6) is the equation equivalent ?

7) does it Neccessarily follow for x>1 ?

8 ) If f is analytic on does that imply it is analytic in ?

Regards

Tommy1729

For x = Y

(1)

(2)

For real

1) does that imply f is C^oo in ?

2) does that imply f is analytic in ?

3) is the solution Unique ? If not, how many variables are there ?

4) how to prove existance ?

5) does it follow ?

6) is the equation equivalent ?

7) does it Neccessarily follow for x>1 ?

8 ) If f is analytic on does that imply it is analytic in ?

Regards

Tommy1729