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Solvability of Boundary Value Problems for a Class of Third-Order Functional Difference Equations
Sarajevo Journal of MathematicsConsider the boundary value problems consisting of the functional difference equation$$\Delta^3x(n)=f(n,x(n+2),x(n-\tau_1(n)),\dots,x(n-\tau_m(n))),\;\;n\in[0,T] $$ and the following boundary value conditions\[\begin{cases}x(0)=x(T+3)=x(1)=0,\\x(n)=\psi ...
Yuji Liu
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Sarajevo Journal of Mathematics
Sufficient conditions for the existence of at least one solution of Neumann boundary value problems for higher order nonlinear functional difference equations with $p$-Laplacian are established. We allow $f$ to be at most linear, superlinear or sublinear
Yuji Liu
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Sufficient conditions for the existence of at least one solution of Neumann boundary value problems for higher order nonlinear functional difference equations with $p$-Laplacian are established. We allow $f$ to be at most linear, superlinear or sublinear
Yuji Liu
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Three Positive Periodic Solutions of Nonlinear Functional Difference Equations
Sarajevo Journal of MathematicsSufficient conditions for the existence of at least three positive $T$-periodic solutions of the nonlinear functional difference equations are established. An example is presented to illustrate the main results.
Yuji Liu, Xingyuan Liu
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, 2020
In this paper, we study the integral boundary value problem of fractional differential equations with non-instantaneous impulses. By using some fixed point theorems, we obtain sufficient conditions for existence of a unique solution, at least one ...
Chengyun Long +3 more
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In this paper, we study the integral boundary value problem of fractional differential equations with non-instantaneous impulses. By using some fixed point theorems, we obtain sufficient conditions for existence of a unique solution, at least one ...
Chengyun Long +3 more
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Global and local structures of oscillatory bifurcation curves
Journal of Spectral Theory, 2019We consider the nonlinear eigenvalue problem u.t/ D .u.t/ C g.u.t///; u.t/ > 0; t 2 I WD . 1; 1/; u. ̇1/ D 0; where g.u/ D u sin.u/ (0 p < 1, 0 < q 1) and > 0 is a bifurcation parameter.
T. Shibata
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APPLYING DIFFERENTIAL TRANSFORMATION METHOD TO THE ONE-DIMENSIONAL PLANAR BRATU PROBLEM
, 2007I. H. Abdel-Halim Hassan, V. S. Erturk
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