Geodesic
On integral equations of stationary distributions for biological systems
Contemporary Mathematics. Fundamental Directions, Proceedings of the Fifth International Conference on Differential and Functional-Differential Equations (Moscow, August 17–24, 2008). Part 2, Tome 36 (2010), pp. 50-60 
V. I. Danchenko; R. V. Rubay. On integral equations of stationary distributions for biological systems. Contemporary Mathematics. Fundamental Directions, Proceedings of the Fifth International Conference on Differential and Functional-Differential Equations (Moscow, August 17–24, 2008). Part 2, Tome 36 (2010), pp. 50-60. http://geodesic.mathdoc.fr/item/CMFD_2010_36_a4/
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     author = {V. I. Danchenko and R. V. Rubay},
     title = {On integral equations of stationary distributions for biological systems},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {50--60},
     year = {2010},
     volume = {36},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2010_36_a4/}
}
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%A R. V. Rubay
%T On integral equations of stationary distributions for biological systems
%J Contemporary Mathematics. Fundamental Directions
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

In this paper, properties of solutions of the convolution-type integral equation $(1+w(x))P(x)=(m*P)(x)+Cm(x)$ on the real axis are studied. The main concern is to find conditions for the function $w(x)$ and the kernel $m(x)$ sufficient for the existence of an admissible solution $P(x)$, i.e., a solution which has a nonzero limit at infinity. The main results of the paper are the uniqueness theorem for the admissible solution for rapidly decreasing kernels $m$ and the existence theorem for one-sided compactly supported kernels m.

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