Results 11 to 20 of about 3,392 (297)
A Singular Nonlinear Volterra Integral Equation [PDF]
Journal of Integral Equations and Applications, 1993 Many problems in Applied Mathematics lead to the study of the nonlinear partial differential equation \(u_ t = (a(u))_{xx} + (b(u))_ x + c(u)\). The interest in the existence of travelling-wave solutions of the form \(U(x,t) = U(\psi)\), \(\psi = x - \lambda t\), originates an ordinary differential equation from which arise integral equations of the ...
Gilding, B.H.
exaly +6 more sources
Fractal and Fractional, 2023 The nonlinear Volterra–Fredholm integral Equation (NVFIE) with a singular kernel is discussed such that the kernel of position can take the Hilbert kernel form, Carleman function, logarithmic form, or Cauchy kernel. Using the quadrature method, the NVFIE
Sahar M. Abusalim +3 more
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Numerical treatments for solving nonlinear mixed integral equation
Alexandria Engineering Journal, 2016 We consider a mixed type of nonlinear integral equation (MNLIE) of the second kind in the space C[0,T]×L2(Ω ...
M.A. Abdou, M. Basseem
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Singularity Subtraction for Nonlinear Weakly Singular Integral Equations of the Second Kind [PDF]
, 2019 The singularity subtraction technique for computing an approximate solution of a linear weakly singular Fredholm integral equation of the second kind is generalized to the case of a nonlinear integral equation of the same kind. Convergence of the sequence of approximate solutions to the exact one is proved under mild standard hypotheses on the ...
Ahues, Mario +3 more
core +5 more sources
Some Nonlinear Gronwall-Bellman-Gamidov Integral Inequalities and Their Weakly Singular Analogues with Applications [PDF]
Abstract and Applied Analysis, 2014 Some Gronwall-Bellman-Gamidov type integral inequalities with power nonlinearity and their weakly singular analogues are established, which can give the explicit bound on solution of a class of nonlinear fractional integral equations.
Kelong Cheng, Chunxiang Guo, Min Tang
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Elliptic perturbations for Hammerstein equations with singular nonlinear term
Electronic Journal of Differential Equations, 2006 We consider a singular elliptic perturbation of a Hammerstein integral equation with singular nonlinear term at the origin. The compactness of the solutions to the perturbed problem and, hence, the existence of a positive solution for the ...
Giuseppe Maria Coclite +1 more
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Journal of Inequalities and Applications, 2018 This paper deals with a generalized nonlinear weakly singular retarded Wendroff-type integral inequality with maxima of an unknown function of two variables.
Yong Yan, Derong Zhou, Jianglin Zhao
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Existence of solutions for a class of nonlinear Volterra singular integral equations
Computers and Mathematics With Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A Aghajani +2 more
exaly +3 more sources
Positive Solutions of a Hammerstein Integral Equation with a Singular Nonlinear Term, II
Journal of Integral Equations and Applications, 2000 The author presents the existence of a positive measurable solution of a Hammerstein equation of the first kind with a singular nonlinear term at the origin. In section 1 the assumptions and the two theorems obtained are stated. Sections 2, 3 and 4 contain the demonstration and proof of the theorems. Sections 5 and 6 are dedicated to Appendices 1 and 2.
Mario Michele Coclite, COCLITE, Mario
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Some Nonlinear Weakly Singular Integral Inequalities with Two Variables and Applications [PDF]
Journal of Inequalities and Applications, 2010 Some nonlinear weakly singular integral inequalities in two variables which generalize some known results are discussed. The results can be used as powerful tools in the analysis of certain classes of differential equations, integral equations, and ...
Wang Hong, Zheng Kelong
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