Results 11 to 20 of about 25,831 (249)
Oscillations of Volterra integral equations with delay [PDF]
Tohoku Mathematical Journal, 1993 The oscillatory behavior of the solutions of a Volterra type equation with delay is investigated. Sufficient conditions on the kernel are given which guarantee that the oscillatory character of the forcing term is inherited by the solutions.
Karakostas, George +2 more
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On a Volterra Stieltjes integral equation [PDF]
International Journal of Stochastic Analysis, 1990 The paper deals with a study of linear Volterra integral equations involving Lebesgue‐Stieltjes integrals in two independent variables. The authors prove an existence theorem using the Banach fixed‐point principle. An explicit example is also considered.
P. T. Vaz, S. G. Deo
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On a perturbed Volterra integral equation
Journal of Mathematical Analysis and Applications, 1970 AbstractFor the Volterra integral equation x(t) = f(t) − ∝0t a(t, s)(x(s) + g[s, x(s)]) ds, if the resolvent kernel of a(t, s) is sufficiently well-behaved, and if ¦g(t, x)¦ → 0 as t → ∞ in some sense, then ¦x(t) − y(t)¦ → 0 as t → ∞, where y(t) is the solution of y(t) = f(t) − ∝0t a(t, s) y(s) ds.
Aaron Strauss, Aaron Strauss
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On the oscillation of a Volterra integral equation [PDF]
Czechoslovak Mathematical Journal, 1995 Bhagat Singh
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Generalised Dirichelt-to-Neumann map in time dependent domains [PDF]
, 2012 We study the heat, linear Schrodinger and linear KdV equations in the domain l(t) < x < ∞, 0 < t < T, with prescribed initial and boundary conditions and with l(t) a given differentiable function.
Baratella +11 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2017 The paper is devoted to the study of the solvability of a nonlinear Volterra–Stieltjes integral equation in the class of real functions defined, bounded and continuous on the real half-axis $\mathbb{R}_+$ and having finite limits at infinity.
Jozef Banas, Agnieszka Dubiel
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Solving Fuzzy Nonlinear Volterra-Fredholm Integral Equations by Using Homotopy Analysis and Adomian Decomposition Methods [PDF]
, 2011 In this paper, Adomian decomposition method (ADM) and homotopy analysis method (HAM) are proposed to solving the fuzzy nonlinear Volterra-Fredholm integral equation of the second kind$(FVFIE-2)$.
Shadan Sadigh Behzadi
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On Solutions of a Nonlinear Erdélyi-Kober Integral Equation
Abstract and Applied Analysis, 2014 We conduct some investigations concerning the solvability of a nonlinear integral equation of Erdélyi-Kober type. To facilitate our study we will first consider a nonlinear integral equation of Volterra-Stieltjes type.
Nurgali K. Ashirbayev +2 more
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On the Volterra property of a boundary problem with integral gluing condition for mixed parabolic-hyperbolic equation [PDF]
, 2013 In the present work we consider a boundary value problem with gluing conditions of integral form for parabolic-hyperbolic type equation. We prove that the considered problem has the Volterra property.
Akhtaeva, N. S. +3 more
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Eigenvalues of Volterra Operator [PDF]
ITM Web of ConferencesIntegral equations frequently appear in many mechanics problems. Several of them are grouped based on the location of an unknown function or the integration interval. Here we have a boundary problem that will be rearranged into Volterra integral equation.
Maharani Dian +7 more
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