first-order nonlinear differential equations
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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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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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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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
... delay differential equation ...on nonlinear functional differential equations for different aspects of the solutions via different approaches and ...functional differential ...
10
On Exact Solutions of Second Order Nonlinear Ordinary Differential Equations
... second order nonlinear ordinary differential ...on first order partial differential equations show that this method can be improved and introduces a significant ...
5
A Petrov-Galerkin method for flows in cavities: enclosure of aspect ratio 8
... A Petrov-Galerkin method for computations of fully enclosed flows is developed. It makes use of divergence-free basis functions which also satisfy the boundary conditions for the velocity field. This allows the ...
9
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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Approximating positive solutions of nonlinear first order ordinary quadratic differential equations with maxima
... for all t ∈ I respectively. Clearly, C(I; R ) is a Banach algebra with respect to above supremum norm and is also partially ordered w.r.t. the above partially order relation ≤. It is known that the partially ...
10
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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Numerical Solution of First Order Ordinary Differential Equations
... and nonlinear differential ...solving first order differential equations arising in some applications of sciences and ...
10
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 ...
12
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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Numerical oscillations for first order nonlinear delay differential equations in a hematopoiesis model
... studied numerical oscillations of alternately advanced and retarded EPCA, the conditions of oscillations for the θ -methods are obtained. To the best of our knowledge, until now very few results dealing with the ...
17
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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Dhage Iteration Method for Nonlinear First Order Hybrid Differential Equations with a Linear Perturbation of Second Type
... Unless otherwise mentioned, throughout this paper that follows, let E denote a partially ordered real normed linear space with an order relation and the norm k · k in which the addition and the scalar ...
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Uncountably many solutions of first order neutral nonlinear differential equations
... 6. Erbe, LH, Kong, QK, Zhang, BG: Oscillation Theory for Functional Differential Equations. Dekker, New York (1995) 7. Levitan, BM: Some problems of the theory of almost periodic functions I. Usp. Mat. Nauk 2(5), ...
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Dhage iteration method for PBVPs of nonlinear first order hybrid integro-differential equations
... of nonlinear hybrid integro-differential ...of nonlinear partial contraction in Theorem ...solutions, differential inequalities and comparison principle and stability ...
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Existence of nonoscillatory solutions for second-order nonlinear differential equations of neutral type
... Abstract. In this work, we consider the existence of nonoscillatory solutions of second order nonlinear neutral differential equations. Our results include as special cases some well-known ...
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