Authors: A. Kh. Khachatryan, Kh. A. Khachatryan
Abstract
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.
Institute of Mathematics
of National Academy of Sciences of Armenia
E-mail: ,
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