Results 71 to 80 of about 1,498 (180)

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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Oscillations of Volterra integral equations with delay

Tohoku Mathematical Journal, 1993
Consider the Volterra integral equation with delays \(x(t)=f(t)-\int_ 0^ t K(t,s,x_ s)ds\), \(t\geq 0\), where \(f\in C(\mathbb{R}^ +,\mathbb{R})\), \(K(t,s,\varphi)\) is continuous in \(t\) and \(\varphi\), and maps bounded sets into bounded sets.
Karakostas, George, Stavroulakis, I. P., Wu, Yumei   +2 more
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Embedding Stieltjes-Volterra integral equations in Stieltjes integral equations [PDF]

Transactions of the American Mathematical Society, 1977
J. A. Reneke has shown that the linear Stieltjes-Volterra integral equations studied by D. B. Hinton can be transformed into Stieltjes integral equations of the type studied by J. S. Mac Nerney. By taking advantage of the nonlinear nature of Mac Nerney’s results, Reneke was able to extend Hinton’s existence theorem to a nonlinear setting. In this paper,
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A Product Integral Solution of a Stieltjes-Volterra Integral Equation [PDF]

Proceedings of the American Mathematical Society, 1970
This paper demonstrates that the theory of Stieltjes-Volterra integral equations may be subsumed in Mac Nerney’s general integral equation theory by making suitable choices of linear spaces and sets of operators.
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A Singular Nonlinear Volterra Integral Equation

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 ...
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Numerical algorithms to solve one inverse problem for Navier–Stokes equations

Nonlinear Analysis
This model describes the Poiseuille type solution in the nonstationary case of the Navier–Stokes problem. An equivalent form of PDE problem is defined as the first-kind Volterra integral equation.
Raimondas Čiegis
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An Analytical and Approximate Solution for Nonlinear Volterra Partial Integro-Differential Equations with a Weakly Singular Kernel Using the Fractional Differential Transform Method

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, Jafar Saberi-Nadjafi, Morteza Gachpazan   +2 more
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Approximate Solution of Intuitionistic Fuzzy Volterra Integral Equation of Separable-Type Kernel Using Elzaki Adomian Decomposition Method

International Journal of Mathematics and Mathematical Sciences
An intuitionistic fuzzy number, which incorporates both membership and nonmembership functions at a same time, allows for a more accurate representation of uncertainty.
Zain Khan, Saleem Abdullah, Samuel Okyere   +2 more
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The Control Problem for a Heat Conduction Equation with Neumann Boundary Condition

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
Previously, boundary control problems for a heat conduction equation with Dirichlet boundary condition were studied in a bounded domain. In this paper, we consider the boundary control problem for the heat conduction equation with Neumann boundary ...
Dekhkonov, F.N.
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On the solution to a two-dimensional boundary value problem of heat conduction in a degenerating domain

Қарағанды университетінің хабаршысы. Математика сериясы, 2020
The article considers a homogeneous boundary - value problem for the heat equation in the non - cylindrical domain, namely, in an inverted pyramid with a vertex at the origin of coordinates, two faces of which lie in coordinate planes.A solution to the ...
M.T. Kosmakova, V.G. Romanovski, D.M. Akhmanova, Zh.M. Tuleutaeva, A.Yu. Bartashevich   +4 more
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