The Asymptotic Behavior of Solutions of Systems of Volterra Integral Equations

existence and approximate $l^{p}$ and continuous solution of nonlinear integral equations of the hammerstein and volterra types

بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی ‎‏بیان شد‎‎‏ه اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...

Exact solutions of nonlinear interval Volterra integral equations

Asymptotic Behavior of Solutions of Discrete Volterra Equations

f : N × R → R, K : N × N → R, K(n, i) = 0 for n < i, and b : N → R. We regard N× R as a metric subspace of the Euclidean plane R2. By a solution of (E) we mean a sequence x : N→ R satisfying (E) for all large n. We say that x is a full solution of (E) if (E) is satisfied for all n. Moreover, if p ∈ N and (E) is satisfied for all n ≥ p, then we say that x is a p-solution. For the sake of conveni...

Approximate Solution of Linear Volterra-Fredholm Integral Equations and Systems of Volterra-Fredholm Integral Equations Using Taylor Expansion Method

In this study, a new application of Taylor expansion is considered to estimate the solution of Volterra-Fredholm integral equations (VFIEs) and systems of Volterra-Fredholm integral equations (SVFIEs). Our proposed method is based upon utilizing the nth-order Taylor polynomial of unknown function at an arbitrary point and employing integration method to convert VFIEs into a system of linear equ...

Asymptotic Behavior of Solutions for Nonlinear Volterra Discrete Equations

are suitable functions. We establish sufficient conditions for the boundedness and the convergence of x i as i → ∞. Some of these conditions are interesting mainly for studying stability of numerical methods for Volterra integral equations.