English

Nonconvolution nonlinear integral Volterra equations with monotone operators

Analysis of PDEs 2016-08-14 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1007.3386,
  title  = {Nonconvolution nonlinear integral Volterra equations with monotone operators},
  author = {M. R. Arias and R. Benítez and V. J. Bolós},
  journal= {arXiv preprint arXiv:1007.3386},
  year   = {2016}
}

Comments

13 pages

R2 v1 2026-06-21T15:50:22.257Z