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

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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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     author = {A. Kh. Khachatryan and Kh. A. Khachatryan},
     title = {Solvability of a~nonlinear integral equation arising in kinetic theory},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {36--41},
     publisher = {mathdoc},
     number = {2},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2015_2_a3/}
}
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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/