Positive solutions of a boundary value problem with integral boundary conditions [PDF]
, 2011 We consider boundary-value problems studied in a recent paper. We show that some existing theory developed by Webb and Infante applies to this problem and we use the known theory to show how to find improved estimates on parameters μ*, λ so ...
Webb, J.
core +5 more sources
Blow-up behavior of collocation solutions to Hammerstein-type volterra integral equations [PDF]
, 2013 We analyze the blow-up behavior of one-parameter collocation solutions for Hammerstein-type Volterra integral equations (VIEs) whose solutions may blow up in finite time.
Brunner, Hermann, Yang, Z.W.
core +4 more sources
Volterra integral equations and fractional calculus: Do neighbouring solutions intersect? [PDF]
, 2012 This is the author's PDF version of an article published in Journal of Integral Equations and Applications. The definitive version is available at rmmc.asu.edu/jie/jie.html.This journal article considers the question of whether or not the solutions to ...
Diethelm, Kai, Ford, Neville J.
core +1 more source
On Nonlinear Integral Inequalities of Gronwall Type in Two Variables [PDF]
, 2003 In this paper we obtain some new nonlinear integral inequality of Gronwall type involving functions of two independent variables which can be used in the analysis of the behavior of the solutions of some partial differential ...
Kim, Young-Ho, Dragomir, Sever S
core +3 more sources
Localized direct segregated boundary-domain integral equations for variable-coefficient transmission problems with interface crack [PDF]
, 2011 The full text of the published article can be accessed at the link belowSome transmission problems for scalar second order elliptic partial differential equations are considered in a bounded composite domain consisting of adjacent anisotropic subdomains ...
Mikhailov, SE +2 more
core +4 more sources
Asymptotically typed solutions to a semilinear integral equation [PDF]
Journal of Integral Equations and Applications, 2014 In this paper, we investigate the existence of $\mu$-pseudo almost automorphic solutions to the semilinear integral equation $x(t)=\int_{-\infty}^{t}a(t-s)[Ax(s)+f(s,x(s))]\,ds$, $t\in\mathbf{R}$ in a Banach space $\mathbf{X}$, where $a\in L^{1}(\mathbf{R}_{+})$, $A$ is the generator of an integral resolvent family of linear bounded operators defined ...
Chang, Yong-Kui +2 more
openaire +2 more sources
Existence of solutions of integral equations with asymptotic conditions [PDF]
Nonlinear Analysis: Real World Applications, 2018 In this work we will consider integral equations defined on the whole real line and look for solutions which satisfy some certain kind of asymptotic behavior. To do that, we will define a suitable Banach space which, to the best of our knowledge, has never been used before.
Cabada Fernández, Alberto +2 more
openaire +3 more sources
Localized boundary-domain singular integral equations based on harmonic parametrix for divergence-form elliptic PDEs with variable matrix coefficients [PDF]
, 2013 This is the post-print version of the Article. The official publised version can be accessed from the links below. Copyright @ 2013 Springer BaselEmploying the localized integral potentials associated with the Laplace operator, the Dirichlet, Neumann and
Mikhailov, SE +2 more
core +1 more source
EXISTENCE AND ASYMPTOTIC STABILITY OF SOLUTIONS TO A FUNCTIONAL-INTEGRAL EQUATION
Taiwanese Journal of Mathematics, 2007 Using a fixed point theorem of Darbo type in the space of bounded continuous functions, the existence of a bounded solution of the equation \[ x(t)=f(t,x(t))+g(t,x(t))\int_{0}^{t}u(t,s,x(s))\,ds \] is obtained when \(| u(t,s,x)|\leq a(t)b(s)\) with small \(a,b\) and \(f(t,\cdot)\) and \(g(t,\cdot)\) are contractions with small constants \(k\) and \(m(t)
Liu, Zeqing, Kang, Shin Min
openaire +2 more sources
Modern Stochastics: Theory and ApplicationsThis paper investigates fractional Riesz–Bessel equations with random initial conditions that exhibit either classical or cyclic long-range dependence.
Shahid Khan, Andriy Olenko
doaj +1 more source