Results 1 to 10 of about 126 (84)
Nontrivial solutions of discrete Kirchhoff-type problems via Morse theory
Advances in Nonlinear Analysis, 2022 In this article, we study discrete Kirchhoff-type problems when the nonlinearity is resonant at both zero and infinity. We establish a series of results on the existence of nontrivial solutions by combining variational method with Morse theory.
Long Yuhua
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Nonautonomous Dynamical Systems, 2021 This paper provides sufficient conditions to guarantee the existence, uniqueness and continuous dependence of positive solutions of a nonlinear fourth order iterative differential equations with two-point and integral boundary conditions.
Mansouri Bouzid +2 more
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Blowing-up solutions for time-fractional equations on a bounded domain
Advances in Mechanical Engineering, 2022 This paper proposes initial-boundary value problems for time-fractional analogs of Kuramoto-Sivashinsky, Korpusov-Pletner-Sveshnikov, Cahn-Allen, and Hoff equations due to a bounded domain.
Abdellatif Boutiara +4 more
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Third-order differential equations with three-point boundary conditions
Open Mathematics, 2021 In this paper, a third-order ordinary differential equation coupled to three-point boundary conditions is considered. The related Green’s function changes its sign on the square of definition. Despite this, we are able to deduce the existence of positive
Cabada Alberto, Dimitrov Nikolay D.
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Open Mathematics, 2022 In this article, we focus on the existence of positive solutions and establish a corresponding iterative scheme for a nonlinear fourth-order equation with indefinite weight and Neumann boundary conditions y(4)(x)+(k1+k2)y″(x)+k1k2y(x)=λh(x)f(y(x)),x∈[0,1]
Wang Jingjing, Gao Chenghua, He Xingyue
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Open Mathematics, 2020 We examine the existence and uniqueness of solutions to two-point boundary value problems involving fourth-order, ordinary differential equations. Such problems have interesting applications to modelling the deflections of beams.
Almuthaybiri Saleh S. +1 more
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On some higher order boundary value problems at resonance with integral boundary conditions
Arab Journal of Mathematical Sciences, 2018 This paper investigates the existence of solutions for higher-order multipoint boundary value problems at resonance. We obtain existence results by using coincidence degree arguments.
Samuel Azubuike Iyase +1 more
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Existence and multiplicity of solutions for second-order Dirichlet problems with nonlinear impulses
Open Mathematics, 2022 We are concerned with Dirichlet problems of impulsive differential equations −u″(x)−λu(x)+g(x,u(x))+∑j=1pIj(u(x))δ(x−yj)=f(x)for a.e.x∈(0,π),u(0)=u(π)=0,\left\{\begin{array}{l}-{u}^{^{\prime\prime} }\left(x)-\lambda u\left(x)+g\left(x,u\left(x))+\mathop{\
Ma Mantang, Ma Ruyun
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Existence results for systems of first-order nabla dynamic inclusions on time scales
Arab Journal of Mathematical Sciences, 2019 In this article, we study the existence of solutions to systems of first-order ∇-dynamic inclusions on time scales with terminal or periodic boundary conditions. We employ the method of solution-tube and Kakutani fixed point theorem.
Bouharket Bendouma, Ahmed Hammoudi
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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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