# Periodic Boundary Conditions

### Invariant tori for a nonlinearly modified Kawahara equation with periodic boundary conditions

**boundary**

**conditions**, the ...

18

### Numerical simulations of the inviscid burgers equation with periodic boundary conditions and stochastic forcing

**periodic**

**boundary**

**conditions**has already been studied numerically by numerous authors, including its long-time statistics (usually from a physical more than mathematical point of ...

13

### Weakly periodic boundary conditions for the homogenization of flow in porous media

**periodic**over, and continuous inside, each F , thus replacing the condition on continuity over the boundaries F ...that

**periodic**

**boundary**

**conditions**satisfy the aforementioned ...scale ...

24

### Fractional-order differential equations with anti-periodic boundary conditions: a survey

**boundary**value problems of nonlinear fractional-order diﬀerential equations, inclusions and coupled systems supple- mented with a variety of anti-

**periodic**(and anti-

**periodic**type)

**boundary**...

27

### Applications of variational methods to the impulsive equation with non separated periodic boundary conditions

**periodic**

**boundary**

**conditions**. By using the variational method and ...

13

### On The Stabilization of the Linear Kawahara Equation with Periodic Boundary Conditions

**periodic**

**boundary**

**conditions**under the effect of a localized damping mechanism. The Kawahara ...

8

### Solutions for a class of fractional Langevin equations with integral and anti-periodic boundary conditions

**boundary**value ...

10

### Natural Convection Heat Transfer in Cylindrical Enclosure of Porous Media with Periodic Boundary Conditions

8

### Solvability of a fourth order boundary value problem with periodic boundary conditions

10

### Solvability of a fourth order boundary value problem with periodic boundary conditions II

11

### ON THE ESTIMATIONS OF THE SMALL EIGENVALUES OF NON-SELF-ADJOINT STURM-LIOUVILLE OPERATORS

**periodic**

**boundary**

**conditions**; if β = 1, α = 1 and k = 2 then they are antiperiodic

**boundary**...ary

**conditions**are regular but not strongly regular. Note that the

**boundary**...

12

### An Algorithm based on Predicting the Interface in Phase Change Materials

**periodic**

**boundary**condition is ...in

**periodic**

**boundary**

**conditions**, melting and freezing process in PCM happen at the same interface ...under

**periodic**

**boundary**...

6

### The Su-Schrieffer-Heeger model applied to chains of finite length, Phys.

**periodic**

**boundary**...proper

**boundary**con- ditions such that the bulk properties ~ ground-state dimeriza- tion amplitude u and stretching d ) of long but open SSH chains are the same as those of ...

7

### Antiperiodic Boundary Value Problems for Finite Dimensional Differential Systems

**periodic**

**boundary**

**conditions**,”

**Boundary**Value Problems, ...anti-

**periodic**

**boundary**

**conditions**,” Nonlinear Analysis: Theory, Methods & Applications, ...

11

### A Spectral Method in Time for Initial Value Problems

**periodic**

**boundary**

**conditions**(being problematic for Fourier representations) and they are particularly apt for representing

**boundary**layers where their extrema are locally dense ...

21

### Periodic boundary value problems for two classes of nonlinear fractional differential equations

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### Tensor form factor for the D → π(K) transitions with Twisted Mass fermions.

**periodic**

**boundary**

**conditions**[4, 5] and the matrix elements of the tensor current are determined for many kinematical

**conditions**, in which parent and child mesons are either moving or at ...

8

### Existence and multiplicity of solutions for second-order Hamiltonian systems satisfying generalized periodic boundary value conditions at resonance

**periodic**solutions for second-order Hamiltonian systems with

**periodic**

**boundary**

**conditions**were extensively studied in the cases where the gradient of the non- linearity is bounded ...

29

### The inverse problem of the heat equation with periodic boundary and integral overdetermination conditions

**conditions**are replaced by heat moments ...integral

**conditions**was also ...with

**periodic**

**boundary**

**conditions**are investigated in [, ...

9

### On the Time Periodic Free Boundary Associated to Some Nonlinear Parabolic Equations

**periodic**solution 6 and references therein and the continuous dependence with respect to the data 12 and references therein. ...

17