Boundedness and Asymptotic Stability for the Solution of Homogeneous Volterra Discrete Equations

Boundedness and stability of discrete Volterra 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 ...

Boundedness and asymptotic stability for delayed equations of logistic type

For a scalar Lotka{Volterra-type delay equation _x(t) = b(t)x(t)[1¡L(xt)], where L : C ([¡r; 0];R) ! R is a bounded linear operator and b a positive continuous function, su± cient conditions are established for the boundedness of positive solutions and for the global stability of the positive equilibrium, when it exists. Special attention is given to the global behaviour of solutions for the ca...

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.

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...