6533b86efe1ef96bd12cb345
RESEARCH PRODUCT
INTEGRAL SOLUTIONS TO A CLASS OF NONLOCAL EVOLUTION EQUATIONS
Simeon ReichJesús Garcia-falsetsubject
Cauchy problemClass (set theory)Pure mathematicsApplied MathematicsGeneral MathematicsOperator (physics)Mathematical analysisBanach spaceIntegral solutionFixed pointNonlinear evolutionFourier integral operatorMathematicsdescription
We study the existence of integral solutions to a class of nonlinear evolution equations of the form [Formula: see text] where A : D(A) ⊆ X → 2X is an m-accretive operator on a Banach space X, and f : [0, T] × X → X and [Formula: see text] are given functions. We obtain sufficient conditions for this problem to have a unique integral solution.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-12-01 | Communications in Contemporary Mathematics |