Results 21 to 30 of about 346,955 (252)
Advances in Mathematical Physics, 2023 In this study, the Fredholm hypersingular integral equation of the first kind with a singular right-hand function on the interval −1,1 is solved. The discontinuous solution on the domain −1,1 is approximated by a piecewise polynomial, and a collocation ...
M. R. Elahi +3 more
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A positive fixed point theorem with applications to systems of Hammerstein integral equations [PDF]
, 2014 We present new criteria on the existence of fixed points that combine some monotonicity assumptions with the classical fixed point index theory. As an illustrative application, we use our theoretical results to prove the existence of positive solutions ...
Cabada, Alberto +2 more
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A class of equations with peakon and pulson solutions (with an Appendix by Harry Braden and John Byatt-Smith) [PDF]
, 2004 We consider a family of integro-differential equations depending upon a parameter $b$ as well as a symmetric integral kernel $g(x)$. When $b=2$ and $g$ is the peakon kernel (i.e. $g(x)=\exp(-|x|)$ up to rescaling) the dispersionless Camassa-Holm equation
Holm, Darryl D., Hone, Andrew N. W.
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Visco-potential free-surface flows and long wave modelling [PDF]
, 2008 In a recent study [DutykhDias2007] we presented a novel visco-potential free surface flows formulation. The governing equations contain local and nonlocal dissipative terms.
Bona +37 more
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Positive Solutions for Coupled Nonlinear Fractional Differential Equations
Journal of Applied Mathematics, 2014 We consider the existence of positive solutions for a coupled system of nonlinear fractional differential equations with integral boundary values. Assume the nonlinear term is superlinear in one equation and sublinear in the other equation.
Wenning Liu, Xingjie Yan, Wei Qi
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A New Higher-Order Iterative Scheme for the Solutions of Nonlinear Systems
Mathematics, 2020 Many real-life problems can be reduced to scalar and vectorial nonlinear equations by using mathematical modeling. In this paper, we introduce a new iterative family of the sixth-order for a system of nonlinear equations. In addition, we present analyses
Ramandeep Behl, Ioannis K. Argyros
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, 2010 This paper aims to compare rational Chebyshev (RC) and Hermite functions (HF) collocation approach to solve the Volterra's model for population growth of a species within a closed system.
Al-Khaled +42 more
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Nonlinear Integral Equations and Their Solutions [PDF]
, 2016 We shall investigate nonlinear integral equations and their properties and solutions. Proofs and examples for the existence of unique solutions to nonlinear integral equations are provided. Some other areas explored are properties of solutions to systems
Richards, Caleb
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, 2007 Many complex systems are characterized by intriguing spatio-temporal structures. Their mathematical description relies on the analysis of appropriate correlation functions.
Tauber, Uwe C.
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On the complete integrability and linearization of nonlinear ordinary differential equations - Part II: Third order equations [PDF]
, 2005 We introduce a method for finding general solutions of third-order nonlinear differential equations by extending the modified Prelle-Singer method. We describe a procedure to deduce all the integrals of motion associated with the given equation so that ...
Chandrasekar, V. K. +2 more
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