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[PDF] Top 20 Existence of Homoclinic Solutions for a Class of Nonlinear Difference Equations

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Existence of Homoclinic Solutions for a Class of Nonlinear Difference Equations

Existence of Homoclinic Solutions for a Class of Nonlinear Difference Equations

... the existence of periodic solutions, subharmonic solutions, and homoclinic solutions of some special forms of ...periodic solutions for difference ...the existence of ... See full document

19

Existence of time homoclinic solutions for a class of discrete wave equations

Existence of time homoclinic solutions for a class of discrete wave equations

... a class of nonperiodic discrete wave equations with Dirichlet boundary conditions are obtained by using the center-difference ...the existence of the nontrivial time homoclinic solutions ... See full document

15

Existence and multiplicity of homoclinic solutions for difference systems involving classical \((\phi {1},\phi {2})\) Laplacian and a parameter

Existence and multiplicity of homoclinic solutions for difference systems involving classical \((\phi {1},\phi {2})\) Laplacian and a parameter

... the existence and multiplicity of homoclinic orbits for difference systems have been extensively studied in many recent papers via critical point theory (for example, see ...ial homoclinic ... See full document

26

Existence of homoclinic solutions for a class of difference systems involving p Laplacian

Existence of homoclinic solutions for a class of difference systems involving p Laplacian

... not periodic in n. is the forward difference operator defined by u(n) = u(n + ) – u(n),  u(n) = (u(n)). As usual, we say that a solution u of (.) is homoclinic (to ) if u(n) →  as n → ±∞. In addition, if u(n) ... See full document

17

Multiple solutions for a class of perturbed second-order differential equations with impulses

Multiple solutions for a class of perturbed second-order differential equations with impulses

... of solutions in these results. In [], which is a probe into the existence of periodic and homoclinic solutions for a class of second-order differential equations of the form () ... See full document

16

Homoclinic solutions for a class of prescribed mean curvature Liénard equations

Homoclinic solutions for a class of prescribed mean curvature Liénard equations

... the existence of homoclinic solutions in the work of [–], our approach for obtaining the existence of homoclinic solutions for ...the existence of kT-periodic ... See full document

15

Homoclinic solutions for a class of nonlinear difference systems with classical \((\phi {1}, \phi {2})\) Laplacian

Homoclinic solutions for a class of nonlinear difference systems with classical \((\phi {1}, \phi {2})\) Laplacian

... It is well known that the variational method has become an important tool to study the existence and multiplicity of solutions for various difference systems. Lots of contribu- tions have been obtained (for ... See full document

24

New homoclinic solutions for a class of second-order Hamiltonian systems with a mixed condition

New homoclinic solutions for a class of second-order Hamiltonian systems with a mixed condition

... In the last two decades, many mathematicians have successfully used variational meth- ods to obtain the existence and multiplicity of homoclinic orbits for problem (1) such as [1, 3–18, 20–37]. Since this ... See full document

14

Existence of solutions to boundary value problem of a class of nonlinear fractional differential equations

Existence of solutions to boundary value problem of a class of nonlinear fractional differential equations

... Riemann-Liouville fractional derivative. By a fixed point theorem in Banach algebra, an existence theorem for the boundary value problem of the above fractional differential equation is proved under both Lipschitz ... See full document

10

On the oscillation of solutions for a class of second order nonlinear stochastic difference equations

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

On sequences of large homoclinic solutions for a difference equations on the integers

On sequences of large homoclinic solutions for a difference equations on the integers

... differential equations lead to exis- tence results for the solutions of a difference ...difference equations consist in seeking solutions as critical points for a suitable associated energy ... See full document

11

Existence, uniqueness, and stability of solutions of a class of nonlinear partial differential equations

Existence, uniqueness, and stability of solutions of a class of nonlinear partial differential equations

... L iapunov 1 s Direct Method for stability has the advantage that it does not r equir e any knowledge of the solution except the knowl edge that i t satisfy a certain differential equatio[r] ... See full document

73

Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations

Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations

... a nonlinear elliptic equation in which the divergence form operator − div(a(x, ∇ u)) is ...many nonlinear dif- fusion problems, in particular in the mathematical modeling of non-Newtonian fluids (see [5] ... See full document

17

Antiperiodic Boundary Value Problems for Finite Dimensional Differential Systems

Antiperiodic Boundary Value Problems for Finite Dimensional Differential Systems

... of solutions for fractional differential inclusions with anti- periodic boundary conditions,” Boundary Value Problems, ...of solutions for a class of nonlinear impulsive functional differential ... See full document

11

Existence solutions for boundary value problem of nonlinear fractional q difference equations

Existence solutions for boundary value problem of nonlinear fractional q difference equations

... Fractional differential calculus is a discipline to which many researchers are dedicating their time, perhaps because of its demonstrated applications in various fields of science and engineering []. Many researchers ... See full document

12

Existence and Uniqueness of Periodic Solutions for a Class of Nonlinear Equations with  Laplacian Like Operators

Existence and Uniqueness of Periodic Solutions for a Class of Nonlinear Equations with Laplacian Like Operators

... Liu, Existence and uniqueness of periodic solutions for a kind of Lienard type p-Laplacian equation, Nonlinear Analysis TMA, 69, 724–729, 2008 ... See full document

11

On the existence and uniqueness of \((N,\lambda )\) periodic solutions to a class of Volterra difference equations

On the existence and uniqueness of \((N,\lambda )\) periodic solutions to a class of Volterra difference equations

... the class of (N, λ )-periodic vector-valued sequences and show several notable properties of this new ...This class includes periodic, anti-periodic, Bloch and unbounded ...the existence and ... See full document

12

The existence of solutions to a class of boundary value problems with fractional difference equations

The existence of solutions to a class of boundary value problems with fractional difference equations

... of solutions of problem (.), second we prove the existence and uniqueness of a solution to problem ...of nonlinear fractional difference equation ... See full document

20

Existence and uniqueness of positive solutions for a class of nonlinear fractional differential equations

Existence and uniqueness of positive solutions for a class of nonlinear fractional differential equations

... The construction of this paper is displayed as follows. In Section , we recall some basic definitions and notations and several useful lemmas. Section  contains the existence and uniqueness of solution for ... See full document

19

Existence of periodic solutions and homoclinic orbits for
third order nonlinear differential equations

Existence of periodic solutions and homoclinic orbits for third order nonlinear differential equations

... the existence of periodic solu- tions for nonlinear second-order differential equations ...for nonlinear third-order differential ...of equations arise in engineering, for example, in ... See full document

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