Results 21 to 30 of about 187 (130)
Demonstratio Mathematica, 2022 By using the theory of fixed point index and spectral theory of linear operators, we study the existence of positive solutions for Riemann-Liouville fractional differential equations at resonance. Our approach will provide some new ideas for the study of
Wang Youyu, Huang Yue, Li Xianfei
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Multi-bump solutions for a Kirchhoff-type problem
Advances in Nonlinear Analysis, 2016 In this paper, we study the existence of solutions for the Kirchhoff problem M(∫ℝ3|∇u|2dx+∫ℝ3(λa(x)+1)u2dx)(-Δu+(λa(x)+1)u)=f(u)$M\Biggl (\int _{\mathbb {R}^{3}}|\nabla u|^{2}\, dx + \int _{\mathbb {R}^{3}} (\lambda a(x)+1)u^{2}\, dx\Biggl ) (- \Delta u +
Alves Claudianor O. +1 more
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Positive solutions for a second-order p-Laplacian impulsive boundary value problem [PDF]
, 2012 In this work, we study the existence and multiplicity of positive solutions for a second-order p-Laplacian boundary value problem involving impulsive effects.
Donal O’Regan +3 more
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Positive solution of Hilfer fractional differential equations with integral boundary conditions [PDF]
, 2021 In this article, we have interested the study of the existence and uniqueness of positive solutions of the first-order nonlinear Hilfer fractional differential equation... ...
ALMALAHI , Mohammed A. +2 more
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Boundary value problems for fractional differential inclusions with Hadamard type derivatives in Banach spaces [PDF]
, 2017 The authors establish sufficient conditions for the existence of solutions to boundary value problems for fractional differential inclusions involving the Hadamard type fractional derivative of order α ∈ (1, 2] in Banach spaces.
HAMANI, Samira +2 more
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Open Mathematics, 2022 In this paper, we use the shooting method to study the solvability of the boundary value problem of differential equations with sign-changing weight function: u″(t)+(λa+(t)−μa−(t))g(u)=0 ...
Yue Xu, Xiaoling Han
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International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This work investigates the existence of infinitely many nontrivial weak solutions to a boundary value problem involving the right‐sided and left‐sided ψ‐Hilfer fractional derivative and ψ‐Riemann–Liouville fractional integral operators. Using variational methods and critical point theory, we obtain new existence criteria for solutions of the given ...
Amjad Salari +2 more
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A Simple Expansion‐Based HPM for Cubic–Quintic Damped Nonlinear Oscillator
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.In the present article, a new amplitude expansion–based homotopy perturbation method (AE‐HPM) is used to study the nonlinear behavior of a damped oscillator. The traditional homotopy perturbation method is extended, considering a simple amplitude expansion to determine the solution and amplitude frequency relationship for the damped nonlinear system ...
Nazmul Sharif, Kartik Ariyur
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Maximum principle and its extension for bounded control problems with boundary conditions
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 35, Page 1855-1879, 2004., 2004 This note is focused on a bounded control problem with boundary conditions. The control domain need not be convex. First‐order necessary condition for optimality is obtained in the customary form of the maximum principle, and second‐order necessary condition for optimality of singular controls is derived on the basis of second‐order increment formula ...
Olga Vasilieva
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A STUDY OF IMPULSIVE FRACTIONAL DIFFERENTIAL INCLUSIONS WITH ANTI-PERIODIC BOUNDARY CONDITIONS [PDF]
, 2012 . In this paper, we prove the existence of solutions for impulsive fractional differential inclusions with anti-periodic boundary conditions by applying Bohnenblust-Karlin's fixed point theorem.
Juan J Nieto, Bashir Ahmad
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