Results 21 to 30 of about 2,525 (268)
Nonlinear impulsive differential and integral inequalities with nonlocal jump conditions
Journal of Inequalities and Applications, 2018 Some new nonlinear impulsive differential and integral inequalities with nonlocal integral jump conditions are presented in this paper. Using the method of mathematical induction, we obtain a new upper bound estimation of certain differential and ...
Zhaowen Zheng, Yingjie Zhang, Jing Shao
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Two Numerical Approaches for Nonlinear Weakly Singular Integral Equations
, 2022 25 pages, 4 figures, 4 ...
Ahues, M. +3 more
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Ain Shams Engineering JournalAnalytic solutions of nonlinear Volterra-Fredholm integral equations with generalized singular kernel arise in atomic scattering, electron emission, microscopy, radio astronomy, radar ranging, plasma diagnostics, and optical fiber evaluation and found a ...
Muhammad Usman +5 more
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Numerical solvability of a class of Volterra-Hammerstein integral equations with noncompact kernels
Journal of Applied Mathematics, 2005 We study the numerical solvability of a class of nonlinear weakly singular integral equations of Volterra-Hammerstein type with noncompact kernels. We obtain existence and uniqueness results and analyze the product integration methods for these equations
M. Hadizadeh, M. Mohamadsohi
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Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023 Background. The purpose of the study is to construct a nonlinear electromagnetic field inside the waveguide. We assume that the body is located in a semi-infinite rectangular waveguide and that an electromagnetic field propagates inside the body ...
Andrey O. Lapich, Mikhail Yu. Medvedik
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International Journal of Adaptive Control and Signal Processing, EarlyView.This work introduces an adaptive human pilot model that captures pilot time‐delay effects in adaptive control systems. The model enables the prediction of pilot–controller interactions, facilitating safer integration and improved design of adaptive controllers for piloted applications.
Abdullah Habboush, Yildiray Yildiz
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International Journal of Differential Equations, 2018 An analytical-approximate method is proposed for a type of nonlinear Volterra partial integro-differential equations with a weakly singular kernel. This method is based on the fractional differential transform method (FDTM).
Rezvan Ghoochani-Shirvan +2 more
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Advanced Engineering Materials, EarlyView.The release of foulers from protective marine coatings is determined by several interrelated material properties, including the strength of Young's modulus, the flexibility of chain segments, the surface free energy, and the magnitude of hydrodynamic stress.
Johann C. Schaal +2 more
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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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Superconvergence of Piecewise Polynomial Collocations for Nonlinear Weakly Singular Integral Equations [PDF]
Journal of Integral Equations and Applications, 1997 Using regularity results established by the authors in [Z. Anal. Anwend. 13, No. 3, 463-476 (1994; Zbl 0803.45007)], they present a complete and detailed analysis of the (global and local) convergence rates of piecewise polynomial collocation solutions (on suitably graded meshes) for nonlinear integral equations of Urysohn type \[ u(x)= \int^b_0 K(x,y ...
Pedas, Arvet, Vainikko, Gennadi
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