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Solutions of Neumann Boundary Value Problems for Higher Order Nonlinear Functional Difference Equations With $p$-Laplacian

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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Three Positive Periodic Solutions of Nonlinear Functional Difference Equations

Sarajevo Journal of Mathematics
Sufficient 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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Solvability of Boundary Value Problems for a Class of Third-Order Functional Difference Equations

Sarajevo Journal of Mathematics
Consider 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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Hadamard and Caputo-Hadamard FDE's with three point integral boundary conditions

, 2017
N. Mahmudov, M. Awadalla, Kanda Abuassba
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