[PDF] Top 20 General solution to a higher order linear difference equation and existence of bounded solutions
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General solution to a higher order linear difference equation and existence of bounded solutions
... difference equation is transformed into a linear first-order one [–], which is solvable ([] contains a nice presentation of some methods for solving the equation; see also [], as well as ... See full document
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Positive solutions of second order linear difference equation with variable delays
... a solution sequence of equation ...Riccati-type equation associated with equation ...the existence of positive solutions of equation (), using the Riccati- type ... See full document
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Positive periodic solution of higher order functional difference equation
... the existence of positive periodic solution of higher-order functional difference equation (2), we will remove the constrains on a and l in ...the existence of positive ... See full document
8
A classification scheme for nonoscillatory solutions of a higher order neutral difference equation
... Nonoscillatory solutions of a nonlinear neutral type higher order difference equations are classified by means of their asymptotic ...theorem, existence criteria are then provided for ... See full document
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A higher order blended compact difference (BCD) method for solving the general 2D linear second order partial differential equation
... large first derivative terms or anisotropy problems. (ii) We perform a sixth-order compu- tation for the grid points on the boundaries, while Ref. [1] uses the fourth-order scheme, which decreases the ... See full document
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5. A Note on existence of $\Psi -$bounded solutions for a nonhomogeneous matrix difference equation on $\mathbb{N}$
... the solutions of linear matrix difference equation (1) and establish a necessary and sufficient condition for existence of Ψ−bounded solutions for the equation (1) ... See full document
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Existence and Asymptotic Behavior of Global Solutions for a Class of Nonlinear Higher Order Wave Equation
... a bounded function. He prove a global existence and a regularity result of the problem ...strong solutions. Precisely, In 13 , Guesmia showed that the solution decays exponentially if g ... See full document
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Existence of solutions for a class of nonlinear higher order fractional differential equation with fractional nonlocal boundary condition
... From the continuity of f we easily see that F : D → AC(I) is a continuous operator that maps bounded sets into bounded sets. By Lemma we know that the composite mapping S ◦ F : D → AC n– (I) is a ... See full document
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Existence of uncountably many bounded positive solutions to higher order nonlinear neutral delay difference equations
... and existence of bounded solutions to many types of difference equation have been widely ...second order, see, for example, [–], and for higher orders, [–], and references ... See full document
9
Existence of periodic solutions for a higher order neutral difference equation
... periodic solution theory of differential equation and difference equation has impor- tant academic value and application ...periodic solutions of neutral difference equations are relatively few ... See full document
8
Existence of a unique bounded solution to a linear second order difference equation and the linear first order difference equation
... difference equation () can be ...the general solu- tion to the homogeneous equation () given in (), we seek the general solution to equa- tion () in the ... See full document
13
On a higher order evolution equation with a Stepanov bounded solution
... strong solutions u : R → X, a Banach space X, of the nth-order evolution equa- tion u (n) − Au (n − 1) = f , an infinitesimal generator of a strongly continuous group A : D(A) ⊆ X → X, and a given forcing ... See full document
6
Bounded and periodic solutions to the linear first order difference equation on the integer domain
... Periodic solutions to () on N were studied in [], which was another motivation for this ...of equation () are periodic, we describe the long-term behavior of its non-periodic solutions when n → – ... See full document
17
Rogue Waves of the Kundu Nonlinear Schrödinger Equation
... In Section 3, From a periodic seed solution, breather solutions, the first-order rogue wave and higher order rogue wave solutions of the Kundu-NLS equation are given.. The higher order r[r] ... See full document
5
Young measure solutions for a fourth-order wave equation with variable growth
... global existence of Young measure solutions of problem ...measure solutions as the limit of the sequence of solutions of problem ...sure solutions of problem ... See full document
23
Existence and decay of solutions of some nonlinear parabolic variational inequalities
... On the existence of bounded solution for nonlinear evolution equation of parabolic type, Math.. Educ., Kyushu Univ.,.[r] ... See full document
24
Existence of solutions of a second order impulsive differential equation
... the existence of solutions of a second-order impulsive differential equation with mixed boundary ...the existence of a unique solution, at least one solution, at least two ... See full document
12
Existence of Solution to Fractional Order Integral Equations.
... differential equation plays an important role in the study of various physical chemical and biological phenomenon’s many researchers are attracted from the field of theory methods and application of fractional ... See full document
8
Existence of positive solutions for Caputo fractional difference equation
... The authors are very grateful to the reviewers for their valuable suggestions and useful comments, which led to an improvement of this paper. Project supported by the National Natural Science Foundation of China (Grant ... See full document
12
The existence of symmetric positive solutions for a seconder order difference equation with sum form boundary conditions
... Remark The conditions that g and h are symmetric on the different sets, which can guarantee the symmetry of associated kernel function for BVP (.)-(.). The kernel func- tions are then used to obtain the ... See full document
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