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Concept
Picard-Lindelöf Theorem
Summary
The
Picard-Lindelöf Theorem
guarantees the existence and
uniqueness of solutions
to certain
ordinary differential equations
under
specific conditions
, namely when the function is
Lipschitz continuous
in the
dependent variable
. This theorem is fundamental in ensuring that
initial value problems
have
well-defined solutions
, which is crucial for both theoretical and
applied mathematics
.
Relevant Degrees
Differential and Integral Equations 88%
Operational Research 13%
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