Given that the terminal condition is of at most linear growth, it is well known that a Cauchy problem admits a unique classical solution when the coefficient multiplying the second derivative is also ...

Proceedings of the National Academy of Sciences of the United States of America, Vol. 68, No. 9 (Sep., 1971), pp. 2025-2027 (3 pages) A study has been made of Cauchy's problem for a class of abstract ...

Inverse problems in differential equations constitute a pivotal area in applied mathematics and engineering, where the aim is to deduce unknown parameters or inputs within a differential equation from ...