[PDF] Top 20 Existence of solutions for nonlinear second order q difference equations with first order q derivatives
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Existence of solutions for nonlinear second order q difference equations with first order q derivatives
... Theorem . (Nonlinear alternative for single-valued maps []) Let E be a Banach space, let C be a closed and convex subset of E, and let U be an open subset of C and ∈ U. Suppose that F : U → C is a ... See full document
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Existence and growth of meromorphic solutions of some nonlinear q difference equations
... In this paper, a meromorphic function means being meromorphic in the whole complex plane. We also assume that the readers are familiar with the usual notations of Nevanlinna theory (see, e.g., [–]). Especially, we use ... See full document
9
Three point boundary value problems for nonlinear second order impulsive q difference equations
... prove existence and uniqueness results for the impulsive bound- ary value problem ...of q k -derivative and q k -integral on finite intervals and collect ... See full document
14
Multiple periodic solutions for the second order nonlinear difference equations
... Difference equations are widely found in mathematics itself and in its applications to combinatorial analysis, quantum physics, chemical reactions, and so ...difference equations and obtained many significant ... See full document
8
Existence and iterative approximations of nonoscillatory solutions for second order nonlinear neutral delay difference equations
... the existence results of uncountably many bounded nonoscillatory solutions for the above equation, propose a few Mann type iterative approximation schemes with errors and obtain several errors estimates ... See full document
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Nonlinear second-order impulsive q-difference Langevin equation with boundary conditions
... fractional order differential equations have emerged as an important area of research, since these problems have applications in various disciplines of science and engineering such as mechanics, electricity, ... See full document
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Periodic solutions of nonlinear second order difference equations
... f α + g (u,v) (l) . (3.40) Observation 3.9. For (u,v) in the boundary of Ω, u − Q(I − E)F(u + MEF(u + v)) < r. Proof. For (u,v) in the boundary of Ω, (u,v) = max { u , v } = r. We consider first those ... See full document
20
Existence and multiple solutions for second order p Laplacian difference equations
... parts. First of all, Section 2 states some basic notations and presents variational ...structure. Second, in Section 3, we shall state and prove our main results by using the variational ... See full document
9
Existence results for nonlocal boundary value problems of fractional differential equations and inclusions with strip conditions
... the existence and uniqueness of solutions for a boundary value problem of nonlinear fractional differential equations and inclusions of order q Î (1, 2] with nonlocal strip ...a ... See full document
21
Positive solutions for singular coupled integral boundary value problems of nonlinear higher order fractional q difference equations
... positive solutions for the singular coupled integral boundary value problem of nonlinear higher-order fractional q-difference ...the existence and uniqueness results of the problem are ... See full document
22
EXISTENCE OF NONOSCILLATORY SOLUTIONS FOR SECOND-ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS WITH VARIABLE DELAYS
... + q(t)G x(t − σ) = f (t) (2) Also, sufficient conditions are obtained for existence of bounded nonoscillatory solutions of ...study existence of positive solutions of (1) for any |p(t)| ... See full document
8
A study of second order q difference equations with boundary conditions
... the q -difference calculus. Then the existence and uniqueness of solutions of the problem is proved via the resulting integral operator equation by means of Leray-Schauder nonlinear ... See full document
10
Existence of zero order meromorphic solutions of certain q difference equations
... of second-order differential equations by making use of a criterion proposed by Picard [10], now known as the Painlevé ...new equations, later named Painlevé equations, which were not ... See full document
13
On a nonlocal boundary value problem for nonlinear second order Hahn difference equation with two different \(q,\omega\) derivatives
... a second-order Hahn difference ...of q and ω . An existence and uniqueness result is proved by using the Banach fixed point theorem, and the existence of a positive solution is ... See full document
25
Multiple positive solutions to singular fractional differential equations with integral boundary conditions involving \(p q\) order derivatives
... In this paper, we obtained several sufficient conditions for the existence of positive solu- tions for nonlinear fractional differential equation involving integral boundary conditions. Our results will be a ... See full document
13
Existence Theorems of Periodic Solutions for Second Order Nonlinear Difference Equations
... 0, n ∈ Z, 1.5 has been studied. Other interesting contributions can be found in some recent papers 7–11 and in references contained therein. It is interesting to study second-order nonlinear ... See full document
11
Existence and properties of meromorphic solutions of some q difference equations
... the q-difference equation ...when solutions have Borel exceptional zeros and ...the existence and growth of mero- morphic solutions of ...have solutions with zero ... See full document
9
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
On the oscillation of solutions for a class of second order nonlinear stochastic difference equations
... In this paper, we investigate the asymptotical behavior for a partial sum sequence of independent random variables, and we derive a law of the iterated logarithm type. It is worth to point out that the partial sum ... See full document
11
Positive solutions of periodic boundary value problems for the second-order differential equation with a parameter
... the existence of positive solutions for a class of singular second-order differential equations with periodic boundary ...the existence of at least one positive solution to the ... See full document
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