Results 41 to 50 of about 2,308,426 (220)
Optimal homotopy asymptotic method for solving Volterra integral equation of first kind
Alexandria Engineering Journal, 2014 In this paper, authors demonstrate the efficiency of optimal homotopy asymptotic method (OHAM). This is done by solving nonlinear Volterra integral equation of first kind.
N. Khan +3 more
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A Volterra equation with square integrable solution [PDF]
Proceedings of the American Mathematical Society, 1980 We study the asymptotic behavior of the solutions of the nonlinear Volterra integrodifferential equation \[ x ′
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A Reduction Algorithm for Volterra Integral Equations
The PUMP Journal of Undergraduate Research, 2023 An integral equation is a way to encapsulate the relationships between a function and its integrals. We develop a systematic way of describing Volterra integral equations – specifically an algorithm that reduces any separable Volterra integral equation into an equivalent one in operator-linear form, i.e., one that only contains iterated integrals. This
Richard Gustavson, Sarah Rosen
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Oikos, EarlyView.Understanding how species interactions relate to biodiversity requires linking complex interaction networks to coexistence mechanisms. In diverse communities, interactions span trophic levels and include pairwise and higher‐order effects, yet their relative importance for explaining population dynamics remains poorly understood.
Rodrigo R. Granjel +4 more
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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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Experimental evidence that estimates of demographic parameters depend on initial population size
Oikos, EarlyView.Classical population models assume that estimated parameters, such as intrinsic growth rate, depend on the species of interest and its environment, but not on the initial population size N(0). However, it has been theoretically proposed that this dependence is a mathematical consequence of reducing a two‐dimensional system (e.g.
Samantha L. Coinus +4 more
wiley +1 more source
Some Solutions of Hilfer Fractional Volterra Integral Equations by Using Pathway-Type Transform
International Journal of Mathematics and Mathematical SciencesThe Pathway-type Pε-transform technique has been introduced as a versatile binomial transform encompassing various classes, including the classical Laplace transform.
Faten H. Damag +4 more
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Exponential Convergence for Numerical Solution of Integral Equations Using Radial Basis Functions
Journal of Applied Mathematics, 2014 We solve some different type of Urysohn integral equations by using the radial basis functions. These types include the linear and nonlinear Fredholm, Volterra, and mixed Volterra-Fredholm integral equations.
Zakieh Avazzadeh +3 more
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Some weakly singular Volterra integral inequalities with maxima in two variables
Journal of Inequalities and Applications, 2023 In this paper, we establish some new weakly singular Volterra type integral inequalities that include the maxima of the unknown function of two variables.
Yining Sun, Run Xu
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Volterra integral equations: the singular case
Hokkaido Mathematical Journal, 2003 The authors are concerned with the investigation of singular Volterra integral equations of the form \[ y(t)= \int^t_0 k(t, s) f(s,y(s))\,ds,\quad t\in [0,T]. \] The singularity feature appears in the nonlinearity \(f(t,y)\), which may admit a nonregular behavior at \(y= 0\).
AGARWAL, Ravi P., O'REGAN, Donal
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