nonlinear first-order differential equations
First-order nonlinear differential equations with state-dependent impulses
... continuous first derivative on some subset of R and is a linear bounded functional which is defined on the Banach space of left-continuous regulated functions on [a, b] equipped with the sup-norm. The functional is ...
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Some new results for BVPs of first order nonlinear integro differential equations of volterra type
... In what follows we focus on the first-order integro-differential equations of mixed type in the form of (1.2). The results presented in the following three statements are similar to Theorem ...
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Dhage iteration method in the theory of IVPs of nonlinear first order functional differential equations
... simple nonlinear first order ordinary functional differential equation via Dhage iter- ation method by constructing an algorithm for the ...several nonlinear functional ...
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Oscillations of Solutions of Neutral Nonlinear Differential Equations
... functional differential equations with piecewise constant arguments, see, for example in literature ...functional differential equations with piecewise constant arguments [17]-[32], ...
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OSCILLATION OF THE EVEN-ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS
... Abstract: The oscillation criteria are investigated for all solutions of even- order neutral differential equations. The obtained results are based on the new comparison theorems, that enable us to ...
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A Petrov-Galerkin method for flows in cavities: enclosure of aspect ratio 8
... low order dynamical system approximating the given ...the nonlinear terms, can be computed analytically and ...of first order ordinary differential equations with known constant ...
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Approximating positive solutions of nonlinear first order ordinary quadratic differential equations with maxima
... for all comparable elements x, y ∈ X, where ψ (0) = 0. If ψ(r) = kr, k > 0, then A is called a partially Lipschitz with a Lipschitz constant k. If k < 1, A is called a partially contraction with contraction ...
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Dhage Iteration Method for Nonlinear First Order Hybrid Differential Equations with a Linear Perturbation of Second Type
... Definition 2.1. A mapping T : E → E is called isotone or monotone nondecreasing if it preserves the order relation , that is, if x y implies T x T y for all x, y ∈ E. Similarly, T is called monotone nonincreasing ...
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Dhage iteration method for approximating positive solutions of quadratic functional differential equations
... of nonlinear first order quadratic hybrid functional differential equations with delay under certain mixed conditions of algebra, geometry and ...
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Numerical Solution of First Order Ordinary Differential Equations
... and nonlinear differential ...solving first order differential equations arising in some applications of sciences and ...
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Numerical Solution of First Order Ordinary Differential Equations
... and nonlinear differential ...solving first order differential equations arising in some applications of sciences and ...
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On Exact Controllability of First Order Impulsive Differential Equations
... Many dynamical systems have an impulsive dynamical behavior due to abrupt changes at certain instants during the evolution process. The mathematical description of these phenomena leads to impulsive di ff erential ...
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Positive periodic solutions for nonlinear first-order delayed differential equations at resonance
... Remark 1.1 Obviously, since a and f are sign-changing, equation (1.3) is more general than corresponding ones studied in the existing literature. For other existence results on nonlinear differential ...
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Uncountably many solutions of first order neutral nonlinear differential equations
... In recent years, the study of existence and qualitative properties of solutions for various kinds of neutral delay differential equations has attracted much attention. For related re- sults, we refer the reader to ...
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Numerical oscillations for first order nonlinear delay differential equations in a hematopoiesis model
... difference equations [, ], differential equations with piecewise continuous arguments (EPCA) [, ], dynamic equations [, ] and partial differential equations [, ...differential ...
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Nonlinear Boundary Value Problem of First Order Impulsive Functional Differential Equations
... This paper investigates the nonlinear boundary value problem for a class of first-order impulsive functional differential equations. By establishing a comparison result and utilizing the method ...
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Dhage iteration method for PBVPs of nonlinear first order hybrid integro-differential equations
... for nonlinear first order ordinary differential equation under some natural hybrid ...for nonlinear integro-differential equations via successive approximations beginning ...
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Existence and Uniqueness of Solutions for the System of First-order Nonlinear Differential Equations with Three-point and Integral Boundary Conditions
... the first-order nonlinear differential equations with three-point and integral boundary conditions are established under sufficient ...ordinary differential equations as ...
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Notes on the Solutions of the First Order Quasilinear Differential Equations
... special differential equations and systems of differential ...quasi-linear equations are less researched in mathematical publications, so the goal of this paper was to investigate some ...
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Oscillation criteria for certain nonlinear fourth order equations
... Asymptotic Behavior of olutlons of Fourth Order Nonlinear Differential Equations, Proc.. An Oscillation Criterion for a Fourth Order Integrally Superllnear Differential Equation, Attl.[r] ...
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