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On nonlinear fractional-order boundary value problems with nonlocal multi-point conditions involving Liouville-Caputo derivative

, 2017
R. Agarwal, A. Alsaedi, A. Alsharif, B. Ahmad   +3 more
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On singular φ−Laplacian BVPs of nonlinear fractional differential equation

Studia Universitatis Babeş-Bolyai. Mathematica
This paper investigates the existence of multiple positive solutions for a class of φ−Laplacian boundary value problem with a nonlinear fractional differential equation and fractional boundary conditions.
Bahia Temar, O. Saifi, S. Djebali
semanticscholar   +1 more source

Generalized Quasilinearization for Nonlinear Three-Point Boundary Value Problems With Nonlocal Conditions

Sarajevo Journal of Mathematics
We apply the generalized quasilinearization technique to obtain a monotone sequence of iterates converging quadratically to the unique solution of a general second order nonlinear differential equation with nonlinear nonlocal mixed three-point boundary ...
B. Ahmad
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Nonlinear Three Point Boundary Value Problem

Sarajevo Journal of Mathematics
In this work, we establish sufficient conditions for the existence of solutions for a three point boundary value problem generated by a third order differential equation. We give sufficient conditions that allow us to obtain the existence of a nontrivial
A. Guezane-Lakoud, A. Frioui
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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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Picard Boundary Value Problems for Second Order Nonlinear Functional Integro-Differential Equations

Sarajevo Journal of Mathematics
Sufficient conditions for the existence of solutions of the Picard boundary value problem for the second order nonlinear integro-differential equation are established.
Yuji Liu
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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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Integral boundary value problem for fractional order differential equations with non-instantaneous impulses

, 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, Jingli Xie, Guoping Chen, Danfeng Luo   +3 more
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Global and local structures of oscillatory bifurcation curves

Journal of Spectral Theory, 2019
We 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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