A Degree Theory for Compact Perturbations of Monotone Type Operators and Application to Nonlinear Parabolic Problem [PDF]
Abstract and Applied Analysis, 2017 Let X be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space X⁎. Let T:X⊇D(T)→2X⁎ be maximal monotone, S:X→2X⁎ be bounded and of type (S+), and C:D(C)→X⁎ be compact with D(T)⊆D(C) such that C lies in Γστ (i.e.,
Teffera M. Asfaw
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A New Topological Degree Theory for Perturbations of Demicontinuous Operators and Applications to Nonlinear Equations with Nonmonotone Nonlinearities [PDF]
Journal of Function Spaces, 2016 Let X be a real reflexive locally uniformly convex Banach space with locally uniformly convex dual space X⁎. Let T:X⊇DT→2X⁎ be maximal monotone of type Γdϕ (i.e., there exist d≥0 and a nondecreasing function ϕ:0,∞→0,∞ with ϕ(0)=0 such that 〈v⁎,x-y〉≥-dx ...
Teffera M. Asfaw
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A degree theory for second order nonlinear elliptic operators with nonlinear oblique boundary conditions [PDF]
Journal of Fixed Point Theory and Applications, 2017 In this paper we introduce an integer-valued degree for second order fully nonlinear elliptic operators with nonlinear oblique boundary conditions. We also give some applications to the existence of solutions of certain nonlinear elliptic equations arising from a Yamabe problem with boundary and reflector problems.
Luc Nguyen, Jiakun Liu, Yanyan Li
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Degree Theory for Second Order Nonlinear Elliptic Operators and its Applications [PDF]
Communications in Partial Differential Equations, 1989 We introduce, along the lines of [4], an integer valued degree for second order fully nonlinear elliptic operators which is invariant under homotopy within elliptic operators. We also give some applications to the bifurcation problem for nonlinear elliptic equations.
Yan Yan Li
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Partial Differential Equations in Applied Mathematics, 2021 Let X be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space X∗. Let T:X⊇D(T)→2X∗be maximal monotone, S:X→2X∗be bounded of type (S+)and C:X⊇D(C)→2X∗be compact with D(T)⊆D(C).
Teffera M. Asfaw
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Results in Applied Mathematics, 2021 In this paper, we investigate the existence of periodic solutions for a class of second order nonlinear random impulse differential equations. By extending the definitions of continuous function bound set, curvature bound set and Nagumo set in ...
Lizhi Wang +3 more
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Alexandria Engineering Journal, 2022 In the present paper, we analyze a coupled system of nonlinear three point boundary value problems (BVPs) consisting of a coupled system of higher order hybrid sequential differential equations formulated by fractional operators.
Shaista Gul +5 more
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Risk assessment of deep excavation construction based on combined weighting and nonlinear FAHP
Frontiers in Earth Science, 2023 Deep excavation construction safety has become a challenging and crucial aspect of modern infrastructure engineering, and its risk assessment is frequently carried out using the Fuzzy Analytic Hierarchy Process (FAHP).
Shihao Liu +8 more
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Extended Seventh Order Derivative Free Family of Methods for Solving Nonlinear Equations
Mathematics, 2023 A plethora of applications from Computational Sciences can be identified for a system of nonlinear equations in an abstract space. These equations are mostly solved with an iterative method because an analytical method does not exist for such problems ...
Ramandeep Behl +3 more
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An application of coincidence degree theory to cyclic feedback type systems associated with nonlinear differential operators [PDF]
Topological Methods in Nonlinear Analysis, 2017 42 pages, 2 PNG ...
Feltrin, Guglielmo, Zanolin, Fabio
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