We find sufficient conditions for the existence of global solutions for the systems of functional-differential equations ` A(t)Φp(y ′) ́′ + B(t)g(y′, y′ t) + R(t)f(y, yt) = e(t), where Φp(u) =… (More)

We obtain sufficient conditions for the existence of global solutions for the systems of differential equations ` A(t)Φp(y ′) ́′ + B(t)g(y′) + R(t)f(y) = e(t), where Φp(y′) is the multidimensional… (More)

In this article we study the asymptotic behavior of solutions to nonlinear second-order differential equations having perturbations that involve Caputo’s derivatives of several fractional orders. We… (More)

The behavior of a horizontally vibrated quasi-two-dimensional granular system is observed over a wide range of time scales by mapping the velocity fields at the boundary by using high-speed video and… (More)

and Applied Analysis 3 is called the Riemann-Liouville fractional integral of h of order α > 0 when the right side exists. Here Γ is the usual Gamma function

In this paper we reformulate the axioms of the well-known Solow macroeconomic growth model by means of the mathematical calculus on time scales. We derive a system of differential equations on a time… (More)

In this paper we deal with the problem of asymptotic integration of nonlinear differential equations with p−Laplacian, where 1 < p < 2. We prove sufficient conditions under which all solutions of an… (More)

In this paper we prove sufficient conditions for the existence of global solutions of nonlinear functional-differential evolution equations whose linear parts are infinitesimal generators of strongly… (More)

The paper deals with a Fredholm boundary value problem for a linear delay system with several delays defined by pairwise permutable constant matrices. The initial value condition is given on a finite… (More)