Abstract
We investigate a class of higher-order nonlinear integro-differential equations with noncompact monotone Hammerstein operator on the positive half-line. An existence theorem is proved for a nonnegative nontrivial solution in a certain Sobolev space. The asymptotic behavior of the solution at infinity is studied. At the end, we give specific examples of such equations.
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ACKNOWLEDGMENTS
We express our gratitude to the referee for useful remarks.
Funding
The work was supported by the Scientific committee of the Republic of Armenia (project no. 21T-1A047).
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Khachatryan, K.A., Petrosyan, H.S. On a Class of Nonlinear Integro-Differential Equations. Sib. Adv. Math. 32, 250–268 (2022). https://doi.org/10.1134/S1055134422040022
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DOI: https://doi.org/10.1134/S1055134422040022