Solution of nonlinear Volterra-Hammerstein integral equations via single-term Walsh series method.
Sepehrian, B., Razzaghi, M. (2005)
Mathematical Problems in Engineering
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Sepehrian, B., Razzaghi, M. (2005)
Mathematical Problems in Engineering
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G. Karakostas (1987)
Colloquium Mathematicae
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W. Okrasinski (1993)
Extracta Mathematicae
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W. Mydlarczyk (1991)
Annales Polonici Mathematici
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R. Smarzewski (1976)
Applicationes Mathematicae
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Berenguer, M.I., Garralda-Guillem, A.I., Galán, M.Ruiz (2010)
Fixed Point Theory and Applications [electronic only]
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K. Orlov, M. Stojanović (1974)
Matematički Vesnik
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Jesús M. Fernández Castillo, W. Okrasinski (1991)
Extracta Mathematicae
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In mathematical models of some physical phenomena a new class of nonlinear Volterra equations appears ([5],[6]). The equations belonging to this class have u = 0 as a solution (trivial solution), but with respect to their physical meaning, nonnegative nontrivial solutions are of prime importance.
Mydlarczyk, W. (2001)
Journal of Inequalities and Applications [electronic only]
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Badr, Abdallah A. (2010)
Mathematical Problems in Engineering
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Bogdan Rzepecki (1976)
Annales Polonici Mathematici
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W. Okrasinski (1990)
Extracta Mathematicae
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We consider the following Volterra equation: (1) u(x) = ∫0 x k(x-s) g(u(s)) ds, where, k: [0, δ0] → R is an increasing absolutely continuous function such that k(0) = 0 g: [0,+ ∞) → [0,+ ∞) is an increasing absolutely continuous function such that g(0) = 0 and g(u)/u → ∞ as u → 0+ (see [3]). Let us note that (1) has always...
M. Niedziela (2008)
Applicationes Mathematicae
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The behaviour near the origin of nontrivial solutions to integral Volterra equations with a power nonlinearity is studied. Estimates of nontrivial solutions are given and some numerical examples are considered.
Najeeb Alam Khan, Amber Shaikh, Muhammad Ayaz (2017)
Waves, Wavelets and Fractals
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The motivation of this paper is to study the fourth order Emden-Fowler equations with initial values by Haarwavelet collocation method(HWCM). In this methodology, differential equations are transformed into a system of linear or nonlinear equations that leads to the value of Haar coefficients and later the solution can be obtained on the entire domain (0, 1]. The fourth order nonlinear test examples are solved at different Haar levels to analyze the accuracy of results. The simplicity...