Results 41 to 50 of about 755 (165)
Qualitative properties of nonlinear Volterra integral equations
Electronic Journal of Qualitative Theory of Differential Equations, 2008 Summary: The contraction mapping principle and Lyapunov's method are used to study qualitative properties of nonlinear Volterra equations of the form \[ x(t) = a(t) -\int^{t}_{0}C(t,s)g(s,x(s))\;ds,\quad t\geq0. \] In particular, the existence of bounded solutions and solutions with various \(L^p\) properties are studied under suitable conditions on ...
Islam, Muhammad, Neugebauer, J.
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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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Oscillation Theorems of Nonlinear Volterra-Stieltjes Integral Equations
Journal of Mathematical Analysis and Applications, 1995 The oscillatory behavior of solutions to the nonlinear Volterra-Stieltjes integral equation \[ p(t) \psi (y) y'_+ (t)= c+ \int^t_0 f(y (s)) d\sigma (s) \] is considered. \(y'_+ (t)\) denotes the right derivative of \(y(t)\), \(p(t)> 0\) and \(\sigma (t)\) are right-continuous and of locally bounded variation on \([0, \infty)\), \(\psi: (- \infty ...
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Regularization of Nonlinear Volterra Integral Equations of the First Kind with Smooth Data
AppliedMathThe paper investigates the regularization of solutions to nonlinear Volterra integral equations of the first kind, under the assumption that a solution exists and belongs to the space of continuous functions.
Taalaibek Karakeev, Nagima Mustafayeva
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On Monotonic and Nonnegative Solutions of a Nonlinear Volterra-Stieltjes Integral Equation
Journal of Function Spaces, 2014 We study the existence of monotonic and nonnegative solutions of a nonlinear quadratic Volterra-Stieltjes integral equation in the space of real functions being continuous on a bounded interval. The main tools used in our considerations are the technique
Tomasz Zając
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Asymptotically periodic solutions of Volterra integral equations
Electronic Journal of Differential Equations, 2016 We study the existence of asymptotically periodic solutions of a nonlinear Volterra integral equation. In the process, we obtain the existence of periodic solutions of an associated nonlinear integral equation with infinite delay.
Muhammad N. Islam
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On the Stability of Numerical Methods for Nonlinear Volterra Integral Equations
Discrete Dynamics in Nature and Society, 2010 Here we investigate the behavior of the analytical and numerical solution of a nonlinear second kind Volterra integral equation where the linear part of the kernel has a constant sign and we provide conditions for the boundedness or decay of solutions ...
E. Messina +3 more
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A Note on Volterra Integral Equations with Power Nonlinearity
Journal of Integral Equations and Applications, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Niedziela, M., Okrasiński, W.
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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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Identification of Input Signals in Integral Models of One Class of Nonlinear Dynamic Systems
Известия Иркутского государственного университета: Серия "Математика", 2019 The problem of restoring input signals is one of the intense developing research areas and is the intersection of the mathematical modeling theory, the automatic control theory and the inverse problems theory.
S. V. Solodusha
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