Nonconvolution nonlinear integral Volterra equations with monotone operators

Details Nonconvolution nonlinear integral Volterra equations with monotone operators Nonconvolution nonlinear integral Volterra equations with monotone operators

2010-07-20

arxiv.org/abs/1007.3386v1

Comput. Math. Appl. 50 (2005), 1405-1414

Mathematics

Analysis of PDEs

13 pages

Scientific paper

10.1016/j.camwa.2005.03.019

Some results about existence, uniqueness, and attractive behaviour of solutions for nonlinear Volterra integral equations with non-convolution kernels are presented in this paper. These results are based on similar ones about nonlinear Volterra integral equations with convolution kernels and some comparison techniques. Therefore, this paper is devoted to find a wide class of nonconvolution Volterra integral equations where their solutions behave like those of Volterra equations with convolution kernels.

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