[PDF] Top 20 On almost periodicity of solutions of second order differential equations involving reflection of the argument
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On almost periodicity of solutions of second order differential equations involving reflection of the argument
... and almost periodic solu- tions has become one of the most attractive topics in the qualitative theory of ordinary and functional differential equations for its significance in the physical sciences, mathe- ... See full document
11
On the method of finding periodic solutions of second-order neutral differential equations with piecewise constant arguments
... 2n-periodic solutions o f ( 1) f o r f with ...periodic solutions o f the equation is ...linear equations is also demon ...Some equations having a unique and infinite number o f periodic ... See full document
17
Existence of anti-periodic solutions for second-order ordinary differential equations involving the Fučík spectrum
... Leray-Schauder degree theory and the Borsuk theorem to establish new results on the existence of anti-periodic solutions of second-order ordinary differential equations. Our nonlinearity may ... See full document
12
Existence and uniqueness of periodic solutions of second order nonlinear differential equations
... tions, e and g respectively denote the T -periodic and T -periodic in the first argument and T > . However, to the best of our knowledge, most authors mentioned above have only considered the existence of ... See full document
10
Multiple solutions for a class of perturbed second-order differential equations with impulses
... dynamic equations is generally thought to provide a natural framework for mathematical modeling of many real world phenomena such as chemother- apy, population dynamics, optimal control, ecology, industrial ... See full document
16
Boundary value problems for differential equations with reflection of the argument
... Now consider the following second order linear functional differential equation.. By differentiation and algebraic elimination this equa-.[r] ... See full document
13
Discrete Pseudo Almost Periodic Solutions for Some Difference Equations
... of almost periodic and on ergodic ...uniqueness solutions of some difference equations using polynomial ...some second order differential equation with a piecewise constant ... See full document
10
On decreasing solutions of second order nearly linear differential equations
... with |h(t)| = o(ln t) as t → ∞, and such that ln t + h(t) > for t ∈ [a, ∞). Examples of h are h(t) = cost or h(t) = ln(ln t). Note that the required monotonicity of G is ensured in a small neighborhood of zero. But ... See full document
13
On the Spectrum of Almost Periodic Solution of Second Order Neutral Delay Differential Equations with Piecewise Constant of Argument
... of almost periodic solutions of ...differential equations ODE, for ...both solutions of ...the solutions of corresponding difference ... See full document
14
Almost Periodic Weak Solutions of Second Order Neutral Delay Differential Equations with Piecewise Constant Argument
... get almost periodic w-solutions and solutions of ...the almost-periodic solution, and in Example 3.2, we obtain the almost-periodic ow-solution and ...the solutions in F 1 ... See full document
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Properties of Meromorphic Solutions of a Class of Second Order Linear Differential Equations
... In 2002, Chen [3] considered the question: What conditions on B(z) when ρ(B) = 1 will guarantee that every nontrivial solution of (1.1) has infinite order? He proved the following result, which improved results of ... See full document
14
On the asymptotic analysis of bounded solutions to nonlinear differential equations of second order
... differential equations (ODEs) of second ...of solutions of those nonlinear ODEs of second ...or second method and inequality techniques, we prove two new theorems on the boundedness ... See full document
19
Growth and Zeros of Meromorphic Solutions to Second-Order Linear Differential Equations
... linear measure zero, we have (3.13) holds, for sufficiently large |z| = r. Then by Lemma 2.6, we get ρ (g) ≤ ρ + 3ε < σ for a small positive ε, a contradiction with ρ (g) ≥ σ. Hence, every transcendental meromorphic ... See full document
8
Limit Properties of Solutions of Singular Second-Order Differential Equations
... existence and/or uniqueness results for solutions of periodic boundary value problems are shown. Copyright q 2009 Irena Rach ˚unkov´a et al. This is an open access article distributed under the Creative Commons ... See full document
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The existence of solutions of periodic BVP for second order impulsive differential equations
... In the literature, some classical tools have been used to study impulsive differential equa- tions. These classical techniques include some fixed point theorems, the lower and upper solutions and the coincidence ... See full document
9
Multiplicity of positive solutions to second-order singular differential equations with a parameter
... However, singular differential equation (.), in which the nonlinearity is dependent on the derivative and does not require f to be nonnegative, has not attracted much attention in the literature. There are not so many ... See full document
12
Positive periodic solutions for second order differential equations with impulsive effects
... differential equations has been a significant development in the last two ...Periodic solutions and periodic boundary value problems of impulsive differential equations have received considerable ... See full document
15
Some results of meromorphic solutions of second order linear differential equations
... of solutions of second-order linear differential equations with entire ...of solutions of second-order linear differential equations with meromorphic coefficients and ... See full document
14
On the Growth of Solutions of Some Second Order Linear Differential Equations
... In this paper, we will assume that the reader is familiar with the fundamental results and the standard notations of the Nevanlinna’s value distribution theory of meromorphic functions e.g., see 1–3. In addition, we will ... See full document
9
Pseudo almost periodic solutions for first order neutral differential equations
... the parameters of (1.1) can be found in [1, 2]. It is well known that the variation of the envi- ronment plays an important role in many biological and ecological dynamical systems. In particular, periodically varying ... See full document
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