[PDF] Top 20 Distributional and entire solutions of linear functional differential equations
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Distributional and entire solutions of linear functional differential equations
... DISTRIBUTIONAL AND ENTIRE SOLUTIONS OF LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS JOSEPH WIENER Department of Hathemat Pan American University Edinburg, Texas 78539 Received February 26, 1[r] ... See full document
8
Distributional and entire solutions of ordinary differential and functional differential equations
... 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
27
Differential transformation method for solving a neutral functional-differential equation with proportional delays
... neutral functional differential equation with proportional ...Such functional- differential equations play an important role in the mathematical modeling of real world phenomena ... See full document
7
Existence and stability of solutions to non linear neutral stochastic functional differential equations in the framework of G Brownian motion
... stochastic functional differential equations (NSFDEs) play a key role in model- ing physical, technical, biological and economic dynamic systems such as predicting op- tion pricing and the growth of ...of ... See full document
14
Linear functional differential equations possessing solutions with a given growth rate
... ear functional di ff erential equation has a unique absolutely continuous solution passing through a given point, having a given growth rate, representable as a uniformly conver- gent functional series with ... See full document
17
Common zeros of the solutions of two differential equations with transcendental coefficients
... In this paper, we use standard notation of Nevanlinna theory from [3]. The reader is referred to the books of Hille [4] and Laine [5], the keynote paper [6], and to [7-14] for comprehensive results on the zeros of ... See full document
13
Solutions of Linear Impulsive Differential Systems Bounded on the Entire Real Axis
... differential equations, using the well-known results on the splitting index by Sacker 6 and by Palmer 7 on the Fredholm property of the problem of bounded solutions and using the theory of pseudoinverse ... See full document
10
Mild solutions for semi-linear fractional order functional stochastic differential equations with impulse effect
... fractional differential equations have been proved to be valuable tools in the modeling of many phenomena in various fields of engineering, physics, economics and ...fractional differential ... See full document
12
Numerical solutions of neutral stochastic functional differential equations
... The key contribution is to establish the strong mean square convergence theory of the Euler– Maruyama approximate solution under the local Lipschitz condition, the linear growth condition and the contractive ... See full document
20
On Periodic Solutions of Higher-Order Functional Differential Equations
... third-order linear differential equations,” Differentsial’nye Uravneniya, ...Differential Equations, ...“Periodic solutions of second-order nonautonomous dynamical systems,” ... See full document
18
On meromorphic solutions of some linear differential equations with entire coefficients being Fabry gap series
... Now, suppose that f (z) is a transcendental meromorphic solution of (.), whose poles are of uniformly bounded multiplicities such that λ( f ) < μ(f ). And we suppose on the contrary that σ(f ) < ∞. Since λ( f ... See full document
13
Entire solutions of certain class of differential difference equations
... Thus, we obtain the desired result and finish the proof of this theorem. It is not difficult to see that a similar argument can be used to obtain the following result. Theorem . Let f be an entire solution of finite ... See full document
9
Existence of entire solutions of some non linear differential difference equations
... Case , m = n ≥ . If m = n = , note that P(z) and Q(z) are non-constant polynomials, by Theorem D, we see that (.) has no transcendental entire solutions of finite order. If m = n ≥ , rewriting (.) as ... See full document
17
On Singular Solutions of Linear Functional Differential Equations with Negative Coefficients
... where c ∈ R. Problem 1.1, 1.4 with h satisfying 1.3 is referred to as the singular Cauchy problem 2. It is reduced, in a natural way, to the classical regular Cauchy problem if h is equal identically to a nonzero ... See full document
16
Existence and Uniqueness of Solution to Semilinear Fractional Elliptic Equation
... 2013 Elliptic Partial Differential Equations Existence and Regularity of Distributional Solutions.. Linear and Semilinear Elliptic Equations.[r] ... See full document
8
On a class of linear ordinary differential equations having ∑k=0∞xkδ(k)(t) and ∑k=0mxkδ(k)(t) as solutions
... We introduced some linear homogeneous ordinary differential equations which have both formal and finite distributional solutions at the same time, where the finite solution is a partial [r] ... See full document
8
Global existence for some neutral functional integrodifferential equations with finite delay
... In this section, we recall some notions and results that we need in the following. Throughout the paper, E is a Banach space, A : D(A) ⊂ E → E is closed linear operator which generates a c 0 - semigroup (T (t)) ... See full document
14
3. Growth of solutions of linear diferential equations in the unit disk
... Abstract. In this paper, we investigate the growth of solutions of higher order linear differential equations with analytic coefficients in the unit disc ∆ = {z ∈ C : |z| < 1}. We obtain ... See full document
13
Feynman Formulas Representation of Semigroups Generated by Parabolic Difference Differential Equations
... The equations of this form arise at the description of the phenomena of diffusion or heat conductivity with the sources, nonlocally dependent on the state ...the equations of a kind (1) arise at research of ... See full document
7
On higher index differential-algebraic equations in infinite dimensions
... for differential-algebraic equations in a possibly infinite-dimensional Hilbert ...of solutions for arbitrary initial values in a distributional ... See full document
10
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