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A Degree Theory for Compact Perturbations of Monotone Type Operators and Application to Nonlinear Parabolic Problem [PDF]

open access: yesAbstract 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
doaj   +4 more sources

A New Topological Degree Theory for Perturbations of Demicontinuous Operators and Applications to Nonlinear Equations with Nonmonotone Nonlinearities [PDF]

open access: yesJournal 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
doaj   +4 more sources

A topological degree theory for constrained problems with compact perturbations and application to nonlinear parabolic problem

open access: yesPartial 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
doaj   +1 more source

Existence of periodic solutions of second-order nonlinear random impulsive differential equations via topological degree theory

open access: yesResults 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
doaj   +1 more source

A degree theory for second order nonlinear elliptic operators with nonlinear oblique boundary conditions [PDF]

open access: yesJournal 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.
Li, Yanyan, Liu, Jiakun, Nguyen, Luc
openaire   +5 more sources

Analysis on a coupled system of two sequential hybrid BVPs with numerical simulations to a model of typhoid treatment

open access: yesAlexandria 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
doaj   +1 more source

Risk assessment of deep excavation construction based on combined weighting and nonlinear FAHP

open access: yesFrontiers 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
doaj   +1 more source

Extended Seventh Order Derivative Free Family of Methods for Solving Nonlinear Equations

open access: yesMathematics, 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
doaj   +1 more source

Yellow virus epidemiological analysis in red chili plants using Mittag-Leffler kernel

open access: yesAlexandria Engineering Journal, 2023
This scientific study investigates to check the dynamical behavior of yellow virus in red chilli with fractional order techniques. While attempts are being made to stop the yellow virus pandemic, a more infectious yellow virus found in red chilli is ...
Muhammad Farman   +8 more
doaj   +1 more source

Superconvergent Nyström Method Based on Spline Quasi-Interpolants for Nonlinear Urysohn Integral Equations

open access: yesMathematics, 2023
Integral equations play an important role for their applications in practical engineering and applied science, and nonlinear Urysohn integral equations can be applied when solving many problems in physics, potential theory and electrostatics, engineering,
Sara Remogna   +2 more
doaj   +1 more source

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