On a class of integral equations of Urysohn type with strong non-linearity

Khachatryan, Khachatur Aghavardovich

doi:10.1070/im2012v076n01abeh002579

Cited by 9 publications

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References 8 publications

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“…Here C 0 (R + ) stands for the space of continuous functions on R + with zero limit at infinity. The author [17]- [19] studied equation (1.1) (and some of its generalizations) in the case when…”

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confidence: 99%

Positive solubility of some classes of non-linear integral equations of Hammerstein type on the semi-axis and on the whole line

Khachatryan¹

2015

Izv. Math.

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We study certain classes of non-linear Hammerstein integral equations on the semi-axis and the whole line. These classes of equations arise in the theory of radiative transfer in nuclear reactors, in the kinetic theory of gases, and for travelling waves in non-linear Richer competition systems. By combining special iteration methods with the methods of construction of invariant cone segments for the appropriate nonlinear operator, we are able to prove constructive existence theorems for positive solutions in various function spaces. We give illustrative examples of equations satisfying all the hypotheses of our theorems.

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confidence: 99%

Positive solubility of some classes of non-linear integral equations of Hammerstein type on the semi-axis and on the whole line

Khachatryan¹

2015

Izv. Math.

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“…-пространство непрерывных функций на R + с нулевым пределом в бесконечности. В работах автора [17]- [19] уравнение (1.1) (и его некоторые обобщения) исследовалось в случае, когда…”

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Positive solubility of some classes of non-linear integral equations of Hammerstein type on the semi-axis and on the whole line

Хачатрян¹,

Khachatryan²

2015

Известия Российской академии наук. Серия математическая

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One-Parameter Families of Positive Solutions of Some Classes of Nonlinear Convolution Type Integral Equations

Khachatryan

Petrosyan

2018

J Math Sci

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On a class of integral equations of Urysohn type with strong non-linearity

Cited by 9 publications

References 8 publications

Positive solubility of some classes of non-linear integral equations of Hammerstein type on the semi-axis and on the whole line

Positive solubility of some classes of non-linear integral equations of Hammerstein type on the semi-axis and on the whole line

Positive solubility of some classes of non-linear integral equations of Hammerstein type on the semi-axis and on the whole line

One-Parameter Families of Positive Solutions of Some Classes of Nonlinear Convolution Type Integral Equations

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