Existence and uniqueness of solutions are established for nonlinear evolution equations with non-Lipschitz perturbations governed by m-accretive operators, along with convergence of successive approximations.
and Boc¸ san, G.: Approximation to mild solutions of stochastic semilinear equations with non-Lipschitz coefficients,Czechoslovak Mathematical Journal,127(2002), 87–95
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Nonlinear evolution equations with a non-Lipschitz perturbation: convergence of successive approximations and uniqueness of solutions
Existence and uniqueness of solutions are established for nonlinear evolution equations with non-Lipschitz perturbations governed by m-accretive operators, along with convergence of successive approximations.