Results 11 to 20 of about 49,489 (261)

Discrete and Continuous Multiplicative Differential Equations and Applications in Solving Non−Linear Difference and Differential Equations [PDF]

open access: yesSahand Communications in Mathematical Analysis
Boundary and initial value problems,  including nonlinear difference equations and nonlinear differential equations, are the mathematical models of many physics and engineering problems and natural phenomena.
Mohammad Jahanshahi   +2 more
doaj   +1 more source

Solving of some nonlinear ordinary differential equations in the form of power series

open access: yesФизико-химические аспекты изучения кластеров, наноструктур и наноматериалов, 2022
In the current scientific literature, a variety of nonlinear ordinary differential equations are widely and successfully used to describe real processes in various fields of natural sciences: optics, elasticity theory, molecular physics, etc. For example,
I.N. Belyaeva   +2 more
doaj   +1 more source

APPLICATION OF BACKLUND DIFFERENTIAL CONSTRAINT FOR CONSTRUCTING EXACT SOLUTIONS OF NONLINEAR HYPERBOLIC EQUATIONS

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. Finding exact solutions of nonlinear partial differential equations is one of the main problems of the nonlinear systems theory. A number of methods have been developed for integrable systems, but due to the complexity of various nonlinear
T. V. Red'kina, O. V. Novikova
doaj   +1 more source

Solutions of nonlinear differential equations [PDF]

open access: yesNonlinear Differential Equations and Applications NoDEA, 2009
We consider an ordinary nonlinear differential equation with generalized coefficients as an equation in differentials in algebra of new generalized functions. Then the solution of such equation will be a new generalized function. In the article we formulate necessary and sufficient conditions when the solution of the given equation in algebra of new ...
Bedziuk, Nadzeya, Yablonski, Aleh
openaire   +3 more sources

A New Application of Hermite Collocation Method [PDF]

open access: yesInternational Journal of Mathematical, Engineering and Management Sciences, 2019
This paper reflects the advantage of a new approach of using Hermite orthogonal basis elements to solve nonlinear differential equations. This method is based on a successive integration technique. To illustrate the method and to establish the efficiency
Chandrali Baishya
doaj   +1 more source

Improved ()-Expansion Method for the Space and Time Fractional Foam Drainage and KdV Equations

open access: yesAbstract and Applied Analysis, 2013
The fractional complex transformation is used to transform nonlinear partial differential equations to nonlinear ordinary differential equations. The improved ()-expansion method is suggested to solve the space and time fractional foam drainage and KdV ...
Ali Akgül   +2 more
doaj   +1 more source

Perturbations of nonlinear differential equations [PDF]

open access: yesTransactions of the American Mathematical Society, 1973
Scalar and vector comparison techniques are used to study the comparative asymptotic behavior of the systems (I) x' = f(t,x) and (2) y' = f(t,y) + g(t,y). Conditions are given which allow bounds for the solutions of (2) to-be obtained assuming a knowledge of the solutions of (1) and which guarantee the generalized asymptotic equivalence of (1) and (2).
Fennell, R. E., Proctor, T. G.
openaire   +1 more source

Nonlinear elliptic differential equations with multivalued nonlinearities [PDF]

open access: yesProceedings Mathematical Sciences, 2001
In this work, certain quasilinear elliptic boundary value problems are investigated. Homogeneous Dirichlet boundary condition is always considered. In the first result, assuming that the multivalued monotone nonlinearity \(\beta\) satisfies \(\operatorname {dom}\beta = R\) and the existence of an upper and a lower solution, the existence of a solution ...
Fiacca A   +3 more
openaire   +3 more sources

Solutions of Nonlinear Integro-Partial Differential Equations by the Method of G′/G,1/G

open access: yesAdvances in Mathematical Physics, 2022
In this article, a special expansion method is implemented in solving nonlinear integro-partial differential equations of 2+1-dimensional using a special expansion method of G′/G,1/G.
Daba Meshesha Gusu, Chala Bulo
doaj   +1 more source

Structural instability impairs function of the UDP‐xylose synthase 1 Ile181Asn variant associated with short‐stature genetic syndrome in humans

open access: yesFEBS Letters, EarlyView.
The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li   +2 more
wiley   +1 more source

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