Abstract Hyperbolic Volterra Integrodifferential Equations
نویسندگان
چکیده
منابع مشابه
Ulam stabilities for nonlinear Volterra-Fredholm delay integrodifferential equations
In the present research paper we derive results about existence and uniqueness of solutions and Ulam--Hyers and Rassias stabilities of nonlinear Volterra--Fredholm delay integrodifferential equations. Pachpatte's inequality and Picard operator theory are the main tools that are used to obtain our main results. We concluded this work with applications of ob...
متن کاملHyperbolic singular perturbations for integrodifferential equations
We study the convergence of solutions of * Co E-m (T.-J. X 0096-3 doi:10. e2u00ðt; eÞ þ u0ðt; eÞ 1⁄4 ðeAþ BÞuðt; eÞ þ R t 0 Kðt sÞðeAþ BÞuðs; eÞds þf ðt; eÞ; tP 0; uð0; eÞ 1⁄4 u0ðeÞ; u0ð0; eÞ 1⁄4 u1ðeÞ; 8< : to solutions of w0ðtÞ 1⁄4 BwðtÞ þ R t 0 Kðt sÞBwðsÞdsþ f ðtÞ; tP 0; wð0Þ 1⁄4 w0; when e ! 0. Here A and B are linear unbounded operators in a Banach space X , KðtÞ is a linear bounded opera...
متن کاملPolynomial spline collocation methods for second-order Volterra integrodifferential equations
where q : I → R, pi : I → R, and ki : D → R (i = 0,1) (with D := {(t,s) : 0 ≤ s ≤ t ≤ T}) are given functions and are assumed to be (at least) continuous in the respective domains. For more details of these equations, many other interesting methods for the approximated solution and stability procedures are available in earlier literatures [1, 3, 4, 5, 6, 7, 8, 11]. The above equation is usually...
متن کاملhp-Discontinuous Galerkin Time-Stepping for Volterra Integrodifferential Equations
We present an hp-error analysis of the discontinuous Galerkin time-stepping method for Volterra integro-differential equations with weakly singular kernels. We derive new error bounds that are explicit in the time-steps, the degrees of the approximating polynomials, and the regularity properties of the exact solution. It is then shown that start-up singularities can be resolved at exponential r...
متن کاملSemilinear Volterra Integrodifferential Equations with Nonlocal Initial Conditions
where h ∈ L1(0,T ;X) and f : [0,T ]×X →X. This is obtained if one takes F(u)(t)= h(t)−∫ t 0 a(t−s)f (s,u(s))ds in (1.1). Such problems are important from the viewpoint of applications since they cover nonlocal generalizations of integrodifferential equations arising in the mathematical modeling of heat conduction in materials with memory. Byszewski [6, 7] initiated the work concerning abstract ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Integral Equations and Applications
سال: 1998
ISSN: 0897-3962
DOI: 10.1216/jiea/1181074221