On a New Class of Singular Integro-differential Equations
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper for a new class of model and non-model partial integro-differential equations with singularity in the kernel, we obtained integral representation of family of solutions by aid of arbitrary functions.
T.K. Yuldashev, S.K. Zarifzoda
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The product Nystr–m method and Volterra-Hammerstien Integral Equation with A Generalized Singular Kernel [PDF]
, 2014 In this work, the existence of a unique solution of Volterra-Hammerstein integral equation of the second kind (V-HIESK) is discussed. The Volterra integral term (VIT) is considered in time with a continuous kernel, while the Fredholm integral term (FIT ...
AL-Bugami, Abeer Majed
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Solutions of a number of integral single-core Volterra equations [PDF]
مجلة التربية والعلم, 2006 In this paper we study some different method for solving volterra integral equation with singular kernel of the first kind and expanded by using a method for finding the solution using Gamma function when f(x) is an algebraic function and α known.
Mohammed Hasso, Khairuddin Mustafa
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Numerical Solution of a Free Boundary Problem from Heat Transfer by the Second Kind Chebyshev Wavelets [PDF]
Journal of Sciences, Islamic Republic of Iran, 2019 In this paper we reduce a free boundary problem from heat transfer to a weakly Singular Volterra integral equation of the first kind. Since the first kind integral equation is ill posed, and an appropriate method for such ill posed problems is based on ...
Bahman Babayar-Razlighi
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Indefinite Hamiltonian systems whose Titchmarsh–Weyl coefficients have no finite generalized poles of non-positive type [PDF]
, 2013 The two-dimensional Hamiltonian system (*) y'(x)=zJH(x)y(x), x∈(a,b), where the Hamiltonian H takes non-negative 2x2-matrices as values, and $J:= \begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix}$, has attracted a lot of interest over the past decades ...
Harald Woracek +3 more
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Exponential stabilization of volterra integral equations with singular kernels
Journal of Integral Equations and Applications, 1988 Stabilization problems for certain problems of partial-differential integral equations with possible singular kernels as encountered in the theory of linear viscoelasticity are discussed. Applications of the theory to some mechanical stabilization problems are also illustrated.
Desch, Wolfgang, Miller, Richard K.
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Generalised Dirichelt-to-Neumann map in time dependent domains
, 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.
Pelloni, Beatrice; id_orcid +2 more
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Coexistence, crossover and extirpation in coalescent communities and ecotones
Oikos, EarlyView.When two ecological communities come into contact, the strength of their mixing determines whether species coexist, extirpate, or extend their ranges. We present analytical formulas and simulations describing these transitions. Specifically, we derive abundance shifts upon community coalescence, identify the critical mixing strength leading to first ...
Martin Heidelman, Dervis Can Vural
wiley +1 more source
Uniform bounds on the 1-norm of the inverse of lower triangular Toeplitz matrices
, 2011 A uniform bound on the 1-norm is given for the inverse of a lower triangular Toeplitz matrix with non-negative monotonically decreasing entries whose limit is zero. The new bound is sharp under certain specified constraints.
J.Y. Yuan +7 more
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Numerical treatments for solving nonlinear mixed integral equation
Alexandria Engineering Journal, 2016 We consider a mixed type of nonlinear integral equation (MNLIE) of the second kind in the space C[0,T]×L2(Ω ...
M.A. Abdou, M. Basseem
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