Geodesic
Solvability of a nonlinear integral equation arising in kinetic theory
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2015), pp. 36-41 
A. Kh. Khachatryan; Kh. A. Khachatryan. Solvability of a nonlinear integral equation arising in kinetic theory. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2015), pp. 36-41. http://geodesic.mathdoc.fr/item/BASM_2015_2_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the paper the question of solvability of an Urysohn type nonlinear integral equation arising in kinetic theory of gases has been studied. We prove the existence of a positive and bounded solution and also suggest an approach for the construction of a solution. We also show that there is a qualitative difference between solutions in the linear and nonlinear cases. In the nonlinear case the solution is a positive and bounded function, while the corresponding linear equation has an alternating solution, which possesses linear growth at infinity.

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