Existence in the Sense of Sequences of Stationary Solutions for Some Non-Fredholm Integro-Differential Equations
Journal Article
·
· Journal of Mathematical Sciences
We establish the existence in the sense of sequences of stationary solutions for some reaction-diffusion type equations in appropriate H{sup 2} spaces. It is shown that, under reasonable technical conditions, the convergence in L{sup 1} of the integral kernels implies the existence and convergence in H{sup 2} of solutions. The nonlocal elliptic equations involve second order differential operators with and without the Fredholm property. Bibliography: 21 titles.
- OSTI ID:
- 22771585
- Journal Information:
- Journal of Mathematical Sciences, Journal Name: Journal of Mathematical Sciences Journal Issue: 6 Vol. 228; ISSN JMTSEW; ISSN 1072-3374
- Country of Publication:
- United States
- Language:
- English
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