[PDF] Top 20 Positive solutions for nonlinear second order differential equations with singularities
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Positive solutions for nonlinear second order differential equations with singularities
... that second order singular differential equations describe many problems in the applied sciences, such as the Brillouin focusing system and nonlinear ...periodic solutions for ... See full document
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On positive periodic solutions of second order difference equations with attractive repulsive singularities
... of nonlinear difference equations has been widely used to study discrete mod- els appearing in many fields such as computer science, economics, neural network, ecol- ogy, and cybernetics; see, for example, ... See full document
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Positive solutions of higher order nonlinear fractional differential equations with changing sign measure
... be positive for all positive x ...lower solutions, some sufficient conditions for the existence of positive solutions to the problem are established utilizing Schauder’s fixed point ... See full document
14
On positive solutions of higher order nonlinear fractional integro-differential equations with boundary conditions
... for nonlinear fractional differential ...for nonlinear fractional boundary value problems were established by making use of techniques of nonlinear analysis such as Banach fixed point theorem, ... See full document
7
Positive solutions for Neumann boundary value problems of nonlinear second order integro differential equations in ordered Banach spaces
... Since G(t, s) >0 and f : I × K × K ® K is continuous, Q : C(I, K) ® C(I, K) is contin- uous. Obviously, a positive solution of the boundary value problem (1) and (3) is equivalent to a nonzero fixed point of ... See full document
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EXISTENCE OF NONOSCILLATORY SOLUTIONS FOR SECOND-ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS WITH VARIABLE DELAYS
... + 28e −10t x(t − 2) 3 = 0, t ≥ 2, (4) and note that r(t) = e −3t , p(t) = −e −7t , q(t) = 28e −10t , τ (t) = t − 2, σ(t) = t − 2 and G(x) = x 3 . Clearly all conditions of Theorem 2.3 are satisfied. In particular, x(t) = ... See full document
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Existence and continuity of positive solutions on a parameter for second-order impulsive differential equations
... It is not difficult to prove that H ∗ (t, s) and G ∗ (t, s) have similar properties to those of H(t, s) and G(t, s). However, we cannot guarantee that H ∗ (t, s) > for any t, s ∈ J. This implies that we cannot apply ... See full document
22
Approximating positive solutions of nonlinear first order ordinary quadratic differential equations with maxima
... differential equations for proving the existence results under certain monotonic ...of solutions of quadratic differential equations with maxima in partially ordered ... See full document
10
Positive solutions to second-order differential equations with dependence on the first-order derivative and nonlocal boundary conditions
... multiple positive solutions for differential equations has been studied extensively; for details, see, for example, ...itive solutions have been done under the assumption that the ... See full document
21
2. Existence of solution to a coupled system of hybrid fractional differential equations
... Fractional order differential equations are available in various disciplines of sci- ence and technology, we refer to [4, 6, 15, 19, 22, 25] for some of the ...These equations have ... See full document
10
Existence of positive solutions of boundary value problems for high order nonlinear conformable differential equations with p Laplacian operator
... of positive solutions on high-order fractional differential equations with p-Laplacian operator, espe- cially for conformable differential ...of positive solutions for boundary ... See full document
17
Periodic solutions of nonlinear second order difference equations
... a positive number β such that for all z > β, f (z) > 0 and f ( − z) < 0, (iii) when c = 1 and | b | < 2, then N arccos( − b/2) is not an even multiple of ... See full document
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Positive solutions for second order impulsive differential equations with Stieltjes integral boundary conditions
... and second authors were supported financially by the National Natural Science Foundation of China (11071141, 11126231) and the Natural Science Foundation of Shandong Province of China (ZR2010AM017, ... See full document
18
Positive Solutions of Boundary Value Problems for System of Nonlinear Fourth-Order Differential Equations
... Fourth-order nonlinear differential equations have many applications such as balancing condition of an elastic beam which may be described by nonlinear fourth-order ordinary differential ... 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 periodic ... See full document
10
On the asymptotic analysis of bounded solutions to nonlinear differential equations of second order
... Finally, when we look at ODEs (1)–(5), we see that ODEs (1)–(4) are linear and ODE (5) has a slightly modified nonlinear form. Next, ODEs (6) and (7) include and improve ODEs (1)–(4) from the linear cases to the ... See full document
19
On Exact Solutions of Second Order Nonlinear Ordinary Differential Equations
... Examples In this section, we give some examples on our approach for reduction and finding solutions of nonlinear second order ordinary differential equations, these equations and more eq[r] ... See full document
5
Multiplicity of positive solutions to second-order singular differential equations with a parameter
... second-order nonlinear damped differential equations by combing the analysis of positiveness of the Green function for a linear damped ... See full document
12
Positive periodic solutions of second order difference equations with weak singularities
... However, the discrete analogue of (1.3) has received almost no attention. In this arti- cle, we will discuss in detail the singular discrete problem (1.1) with our goal being to fill the above stated gap in the ... See full document
11
Existence of positive periodic solutions of second-order differential equations with weak singularities
... Recently, Torres [] showed how a weak singularity can play an important role if Schauder’s fixed point theorem is chosen in the proof of the existence of positive periodic solutions for (.). From now on, ... See full document
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