Results 31 to 40 of about 1,093 (183)
On Approximation-Solvability of Nonlinear Equations in Reflexive Banach Spaces
Zeitschrift für Analysis und ihre Anwendungen, 1993 We extend the Zarantonello numerical range to the case of reflexive Banach space opera-tors, and study the approximation-solvability of nonlinear equations relating to the results of Zeidler (1990).
Verma, R., Debnath, L.
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Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
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Weak Solutions for Nonlinear Fractional Differential Equations in Banach Spaces
Discrete Dynamics in Nature and Society, 2012 We discuss the existence of weak solutions for a nonlinear boundary value problem of fractional differential equations in Banach space. Our analysis relies on the Mönch's fixed point theorem combined with the technique of measures of weak noncompactness.
Wen-Xue Zhou +2 more
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Second Order Nonlinear Evolution Equations in Banach Spaces
Journal of Mathematical Analysis and Applications, 1995 The authors consider the Cauchy problem \((*)\) \(u''(t) \in A(t) u(t)\), \(t \geq 0\) a.e., \(u(0) = x\), \(\sup \{|u(t) |: t \geq 0\} < \infty\), where \(X\) is a uniformly smooth Banach space, with strongly monotone duality mapping, the solution \(u(t)\) is \(X\)-valued and for each \(t\), \(A(t)\) is a nonlinear multivalued and unbounded \(m ...
Xue, X.M., Song, G.Z., Ma, J.P.
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Fragmentation–Coagulation Processes With Advection or Diffusion in Space
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C0$$ {C}_0 $$‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more ...
Jacek Banasiak, Nduduzo Majozi
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Nonlinear evolution equations in Banach spaces
Journal of Differential Equations, 1971 Let H be a real Hilbert space and IV, V be two real reflexive separable Banach spaces with WC I’ C H. The natural injection mappings of W into V and of V into H are continuous. Let L be a closed densely defined positive linear operator from V into W* and A be a semicoercive, L-pseudomonotone operator mapping D(A), dense in V, into W* with D(A) n D(L) #
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On the Global Asymptotic Stability of an Infection‐Age‐Structured Competitive Model
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We investigate an infection‐age‐structured competitive epidemiological model involving multiple strains. While classical results establish competitive exclusion when a unique maximal basic reproduction number exists, we provide here a complete characterization of the asymptotic behavior for an arbitrary number of populations without assuming ...
S. Girel, Q. Richard
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An All‐At‐Once Solver for Visco‐Acoustic Full Waveform Inversion in the Time‐Domain
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Full waveform inversion (FWI) is the cutting‐edge seismic imaging technique used to reconstruct subsurface material properties such as wave velocities, mass density, and attenuation from measurements of reflected wavefields. In this article, we present the first implementation of FWI in the visco‐acoustic regime, based on a new time‐domain all‐
Christian Rheinbay, Andreas Rieder
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Multiplicity Solutions of Fractional Impulsive p-Laplacian Systems: New Result
Journal of Function Spaces, 2021 In this paper, the existence of multiplicity distinct weak solutions is proved for differentiable functionals for perturbed systems of impulsive nonlinear fractional differential equations. Further, examples are given to show the feasibility and efficacy
Rafik Guefaifia +5 more
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Fully nonlinear integrodifferential equations in general Banach space
Mathematische Zeitschrift, 1985 We study a nonlinear Volterra problem in a Banach space X: \[ (*)\quad u'(t)=f(t,u(t))+\int^{t}_{0}g(t,s,u(s))ds\quad (t\geq 0),\quad u(0)=u_ 0, \] with \(f: {\mathbb{R}}_+\times D\to X\), \(g: \Delta\times D\to X\), where \(\Delta\) is the set \(\{(t,s)\in {\mathbb{R}}^ 2\); 0\(\leq s\leq t\}\), \(D\hookrightarrow X\) is a Banach space and \(A=f_ u(0 ...
LUNARDI, Alessandra, E. Sinestrari
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