Results 51 to 60 of about 869,106 (168)
Homoclinic solutions of 2nth-order difference equations containing both advance and retardation
Open Mathematics, 2016 By using the critical point method, some new criteria are obtained for the existence and multiplicity of homoclinic solutions to a 2nth-order nonlinear difference equation.
Long Yuhua, Zhang Yuanbiao, Shi Haiping
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Transactions of the Philological Society, Volume 124, Issue 1, Page 168-199, March 2026.Abstract This study investigates the lexicographical potential of Medieval Latin documentation from the Venetian area of the Italo‐Romance domain, highlighting the need for a systematic approach to bridge Latin and vernacular linguistic developments. The project MEDITA – Medieval Latin Documentation and Digital Italo‐Romance Lexicography.
Jacopo Gesiot
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A Mountain Pass to the Jacobian Conjecture
, 1998 This paper presents an approach to injectivity theorems via the Mountain Pass Lemma and raises an open question. The main result of this paper (Theorem 1.1) is proved by means of the Mountain Pass Lemma and states that if the eigenvalues of are ...
Marc Chamberland, Gary Meisters
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Existence of multiple solutions for a quasilinear Neumann problem with critical exponent
Boundary Value Problems, 2018 The main purpose of this paper is to establish the existence and multiplicity of nontrivial solutions for a quasilinear Neumann problem with critical exponent.
Yuanxiao Li, Suxia Xia
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Numerical Study of a Nonlocal Nonlinear Schrödinger Equation (MMT Model)
Studies in Applied Mathematics, Volume 156, Issue 3, March 2026.ABSTRACT In this paper, we study a nonlocal nonlinear Schrödinger equation (MMT model). We investigate the effect of the nonlocal operator appearing in the nonlinearity on the long‐term behavior of solutions, and we identify the conditions under which the solutions of the Cauchy problem associated with this equation are bounded globally in time in the ...
Amin Esfahani, Gulcin M. Muslu
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Abstract and Applied Analysis, 2019 Via the concentration compactness principle, delicate energy estimates, the strong maximum principle, and the Mountain Pass lemma, the existence of positive solutions for a nonlinear PDE with multi-singular inverse square potentials and critical Sobolev ...
M. Khiddi
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Nonlinear Analysis, 2018 In this paper, we consider the fractional Kirchhoff equations with electromagnetic fields and critical nonlinearity. By means of the concentration-compactness principle in fractional Sobolev space and the Kajikiya's new version of the symmetric mountain ...
Sihua Liang, Jihui Zhang
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Urban Agriculture &Regional Food Systems, Volume 11, Issue 1, 2026.Abstract Soils provide vital services for agricultural productivity, carbon sequestration, biodiversity conservation, and environmental sustainability. However, soil acidity poses a major threat to soil quality and sustainable food production globally, including in Ethiopia.
Elias Dogiso +3 more
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IET Networks, Volume 15, Issue 1, January/December 2026.This paper proposes an improved Exponential–Trigonometric Optimisation algorithm for dynamic 3D UAV trajectory planning in cluttered and uncertain environments. By integrating optimised Latin hypercube sampling, adaptive exploration–exploitation control and probabilistic local refinement, the method improves search robustness, convergence stability and
Baofeng Ji +4 more
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Homoclinic orbits for a class of symmetric Hamiltonian systems
Electronic Journal of Differential Equations, 1994 of Hamiltonian systems that are symmetric with respect to independent variable (time). For the scalar case we prove existence and uniqueness of a positive homoclinic solution. For the system case we prove existence of symmetric homoclinic orbits.
Philip Korman, Alan C. Lazer
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