[PDF] Top 20 Linear functional differential equations possessing solutions with a given growth rate

... the given initial or boundary conditions but also to ensure that the solution in question possesses certain qualitative properties ...of solutions do not provide any algorithm to find the solution ... See full document

... Lemma 2.9 [10] Let 𝑓(𝑧)"“be an entire function of order“ 𝜌 “where“ "0" < 𝜌 < "1/2 ,“and let“ 𝜀 > 0 “be a given constant.“Then there exists a set“𝐸 ⊂ ["0, ∞)" with“𝑑𝑒𝑛𝑠 ̅̅̅̅̅̅̅𝐸 ≥ ... See full document

... weakened linear growth condition and the non-Lipschitz condition, a neutral stochastic functional differential equation in the G-frame has at most one ... See full document

... any given ε > 0, there exists a set E ⊂ [0, 2π) that has linear measure zero, such that if ψ ∈ [0, 2π)\E, then there is a constant R = R(ψ) > 1 such that, for all z satisfying arg z = ψ and |z| = r ... See full document

... Lemma . ([]) Let f (z) be a transcendental meromorphic function, and let α >  be a given constant. Then there exist a set H ⊂ (, ∞) that has a finite logarithmic measure and a constant B >  depending ... See full document

... Theorem A states that when σQ 1, 1.3 may have finite-order solutions. We go deep into the problem: what condition in Qz when σQ 1 will guarantee every solution f / ≡ 0 of 1.3 has infinite order? And more precise ... See full document

... C([−τ, 0]; R n )-valued random variable such that E kξk p < ∞ for some p ≥ 2. Our main aim is to extend the method developed by [16] and [17] to NSFDEs and study strong convergence for the Euler–Maruyama numerical ... See full document

... any given ε > , there exists a set E ⊂ [, π ) that has linear measure zero such that if ψ ∈ [, π) \ E, then there is a constant R = R(ψ) >  such that, for all z satisfying arg z = ψ and |z| = r ... See full document

... For concrete classes of weight functions h, Theorem 3.1 allows one to obtain efficient results concerning the existence, localisation, and approximate construction of solutions of 1.1 possessing property 1.2. ... See full document

... numerical solutions of the growth rate equations of an ecological commensalism interaction between two species with the help of classical Runge-Kutta method where as the commensal species has ... See full document

... article Differential Transformation Method (DTM) has been used to solve neutral functional-differential equations with proportional ...many linear and nonlinear problems and is capable ... See full document

... The deterministic systems often fluctuate due to environmental noise due to this reason it is important and necessary for researcher to study these systems. These systems are modeled as stochastic differential ... See full document

... differential equations; the absence of pure imaginary roots excludes a central manifold while simple roots imply a one-dimensional Jordan ...multiple solutions may emerge. By multiple solutions, we ... See full document

... half linear neutral differential equations has been recently considered the attention of many researches for the last several years, see ...half linear neutral differential ... See full document

... 2013 Elliptic Partial Differential Equations Existence and Regularity of Distributional Solutions.. Linear and Semilinear Elliptic Equations.[r] ... See full document

... On the solutions in generalized functions of some ordinary differential equations with polynomial coefficients, Dokl.. On the solutions in generalized functions of ordinary differential [r] ... See full document

... 15 I. Kiguradze and T. Kusano, “On conditions for the existence and uniqueness of a periodic solution of nonautonomous differential equations,” Differentsial’nye Uravneniya, vol. 36, no. 10, pp. 1301–1306, 1436, ... See full document

... The paper is organized as follows. In Section 2, we recall some preliminary results of Eq.(1.3). In Section 3, we study the existence of mild solutions for the neutral system (1.1) using the theory of semigroup ... See full document

... every solution f 6≡ 0 of (1.2) has infinite order? Many authors have investigated the growth of the solutions of complex linear differential equations in C , see [2, 3, 4, 5, 6, 10, 15, ... See full document

... Djafari Rouhani, we study the asymptotic behavior of solutions of nonlinear functional differential equation dut/dt + Aut+ Gut ft, where A is a maximal monotone operator in a nilbert spa[r] ... See full document